A bstract Quantum field theories with identical local dynamics can admit different choices of global structure, leading to different partition functions and spectra of extended operators. Such choices can be reformulated in terms of a topological field theory in one dimension higher, the symmetry TFT. In this paper we show that this TFT can be reconstructed from a careful analysis of the infrared Coulomb-like phases. In particular, the TFT matches between the UV and the IR. This provides a purely field theoretical counterpart of several recent results obtained via geometric engineering in various string/M/F theory setups for theories in four and five dimensions that we confirm and extend.
{"title":"Global structures from the infrared","authors":"Michele Del Zotto, Iñaki García Etxebarria","doi":"10.1007/jhep11(2023)058","DOIUrl":"https://doi.org/10.1007/jhep11(2023)058","url":null,"abstract":"A bstract Quantum field theories with identical local dynamics can admit different choices of global structure, leading to different partition functions and spectra of extended operators. Such choices can be reformulated in terms of a topological field theory in one dimension higher, the symmetry TFT. In this paper we show that this TFT can be reconstructed from a careful analysis of the infrared Coulomb-like phases. In particular, the TFT matches between the UV and the IR. This provides a purely field theoretical counterpart of several recent results obtained via geometric engineering in various string/M/F theory setups for theories in four and five dimensions that we confirm and extend.","PeriodicalId":48906,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135186731","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nowar E. Koning, Sergei M. Kuzenko, Emmanouil S. N. Raptakis
A bstract The supertwistor and bi-supertwistor formulations for $$ mathcal{N} $$ N -extended anti-de Sitter (AdS) superspace in four dimensions, $$ Ad{S}^{4mid 4mathcal{N}} $$ AdS4∣4N , were derived two years ago in [1]. In the present paper, we introduce a novel realisation of the $$ mathcal{N} $$ N -extended AdS supergroup OSp( $$ mathcal{N} $$ N |4; ℝ ) and apply it to develop a coset construction for $$ {textrm{AdS}}^{4mid 4mathcal{N}} $$ AdS4∣4N and the corresponding differential geometry. This realisation naturally leads to an atlas on $$ {textrm{AdS}}^{4mid 4mathcal{N}} $$ AdS4∣4N (that is a generalisation of the stereographic projection for a sphere) that consists of two charts with chiral transition functions for $$ mathcal{N} $$ N > 0. A manifestly OSp( $$ mathcal{N} $$ N |4; ℝ ) invariant model for a superparticle in $$ {textrm{AdS}}^{4mid 4mathcal{N}} $$ AdS4∣4N is proposed. Additionally, by employing a conformal superspace approach, we describe the most general conformally flat $$ mathcal{N} $$ N -extended supergeometry. This construction is then specialised to the case of $$ {textrm{AdS}}^{4mid 4mathcal{N}} $$ AdS4∣4N .
{"title":"Embedding formalism for $$ mathcal{N} $$-extended AdS superspace in four dimensions","authors":"Nowar E. Koning, Sergei M. Kuzenko, Emmanouil S. N. Raptakis","doi":"10.1007/jhep11(2023)063","DOIUrl":"https://doi.org/10.1007/jhep11(2023)063","url":null,"abstract":"A bstract The supertwistor and bi-supertwistor formulations for $$ mathcal{N} $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>N</mml:mi> </mml:math> -extended anti-de Sitter (AdS) superspace in four dimensions, $$ Ad{S}^{4mid 4mathcal{N}} $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>Ad</mml:mi> <mml:msup> <mml:mi>S</mml:mi> <mml:mrow> <mml:mn>4</mml:mn> <mml:mo>∣</mml:mo> <mml:mn>4</mml:mn> <mml:mi>N</mml:mi> </mml:mrow> </mml:msup> </mml:math> , were derived two years ago in [1]. In the present paper, we introduce a novel realisation of the $$ mathcal{N} $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>N</mml:mi> </mml:math> -extended AdS supergroup OSp( $$ mathcal{N} $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>N</mml:mi> </mml:math> |4; ℝ ) and apply it to develop a coset construction for $$ {textrm{AdS}}^{4mid 4mathcal{N}} $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msup> <mml:mi>AdS</mml:mi> <mml:mrow> <mml:mn>4</mml:mn> <mml:mo>∣</mml:mo> <mml:mn>4</mml:mn> <mml:mi>N</mml:mi> </mml:mrow> </mml:msup> </mml:math> and the corresponding differential geometry. This realisation naturally leads to an atlas on $$ {textrm{AdS}}^{4mid 4mathcal{N}} $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msup> <mml:mi>AdS</mml:mi> <mml:mrow> <mml:mn>4</mml:mn> <mml:mo>∣</mml:mo> <mml:mn>4</mml:mn> <mml:mi>N</mml:mi> </mml:mrow> </mml:msup> </mml:math> (that is a generalisation of the stereographic projection for a sphere) that consists of two charts with chiral transition functions for $$ mathcal{N} $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>N</mml:mi> </mml:math> > 0. A manifestly OSp( $$ mathcal{N} $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>N</mml:mi> </mml:math> |4; ℝ ) invariant model for a superparticle in $$ {textrm{AdS}}^{4mid 4mathcal{N}} $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msup> <mml:mi>AdS</mml:mi> <mml:mrow> <mml:mn>4</mml:mn> <mml:mo>∣</mml:mo> <mml:mn>4</mml:mn> <mml:mi>N</mml:mi> </mml:mrow> </mml:msup> </mml:math> is proposed. Additionally, by employing a conformal superspace approach, we describe the most general conformally flat $$ mathcal{N} $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>N</mml:mi> </mml:math> -extended supergeometry. This construction is then specialised to the case of $$ {textrm{AdS}}^{4mid 4mathcal{N}} $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msup> <mml:mi>AdS</mml:mi> <mml:mrow> <mml:mn>4</mml:mn> <mml:mo>∣</mml:mo> <mml:mn>4</mml:mn> <mml:mi>N</mml:mi> </mml:mrow> </mml:msup> </mml:math> .","PeriodicalId":48906,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135185927","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jason Baretz, Nicholas Carrara, Jacob Hollingsworth, Daniel Whiteson
A bstract We describe a set of novel methods for efficiently sampling high-dimensional parameter spaces of physical theories defined at high energies, but constrained by experimental measurements made at lower energies. Often, theoretical models such as supersymmetry are defined by many parameters, $$ mathcal{O} $$ O (10 − 100), expressed at high energies, while relevant experimental constraints are often defined at much lower energies, preventing them from directly ruling out portions of the space. Instead, the low-energy constraints define a complex, potentially non-contiguous subspace of the theory parameters. Naive scanning of the theory space for points which satisfy the low-energy constraints is hopelessly inefficient due to the high dimensionality, and the inverse problem is considered intractable. As a result, many theoretical spaces remain under-explored. We introduce a class of modified generative autoencoders, which attack this problem by mapping the high-dimensional parameter space to a structured low-dimensional latent space, allowing for easy visualization and efficient generation of theory points which satisfy experimental constraints. An extension without dimensional compression, which focuses on limiting potential information loss, is also introduced.
{"title":"Visualization and efficient generation of constrained high-dimensional theoretical parameter spaces","authors":"Jason Baretz, Nicholas Carrara, Jacob Hollingsworth, Daniel Whiteson","doi":"10.1007/jhep11(2023)062","DOIUrl":"https://doi.org/10.1007/jhep11(2023)062","url":null,"abstract":"A bstract We describe a set of novel methods for efficiently sampling high-dimensional parameter spaces of physical theories defined at high energies, but constrained by experimental measurements made at lower energies. Often, theoretical models such as supersymmetry are defined by many parameters, $$ mathcal{O} $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>O</mml:mi> </mml:math> (10 − 100), expressed at high energies, while relevant experimental constraints are often defined at much lower energies, preventing them from directly ruling out portions of the space. Instead, the low-energy constraints define a complex, potentially non-contiguous subspace of the theory parameters. Naive scanning of the theory space for points which satisfy the low-energy constraints is hopelessly inefficient due to the high dimensionality, and the inverse problem is considered intractable. As a result, many theoretical spaces remain under-explored. We introduce a class of modified generative autoencoders, which attack this problem by mapping the high-dimensional parameter space to a structured low-dimensional latent space, allowing for easy visualization and efficient generation of theory points which satisfy experimental constraints. An extension without dimensional compression, which focuses on limiting potential information loss, is also introduced.","PeriodicalId":48906,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135186735","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A bstract We extend the analysis of Misaligned Supersymmetry to orientifold vacua. The lack of modular invariance in the Klein bottle, annulus and Möbius strip amplitudes implies that the IR properties of the physical spectrum are related to the UV behaviour of closed strings freely propagating between D-branes and O-planes, and vice versa . We thus build sector averaged sums 〈 d ( n )〉 associated to both representations of each Riemann surface. We find that the 〈 d ( n )〉’s associated to the loop channel control the coupling of closed-string tachyons to D-branes and/or O-planes, and therefore their vanishing is a necessary, but not sufficient, condition for stability in the closed sector. Similarly, the sector averaged sums associated to the tree-level amplitudes encode the presence of tachyons in the physical spectrum, and their vanishing is a sufficient, but not necessary, condition for classical stability. Using this technology, it is difficult, if not impossible, to formulate necessary and sufficient criteria for the absence of tachyons since, in orientifold vacua, they can be removed from the spectrum by the orientifold projection. Although in these cases one would naively expect a cancellation between 〈 d ( n )〉’s associated to different amplitudes, this does not occur in practice. We provide several examples in ten and lower dimensions supporting our results.
我们将对错位超对称的分析推广到取向褶皱真空。克莱因瓶、环空和Möbius条振幅中模不变量的缺乏意味着物理光谱的红外特性与在d膜和o面之间自由传播的闭弦的紫外行为有关，反之亦然。因此，我们建立扇区平均和< d (n) >与每个黎曼曲面的两个表示相关联。我们发现与环路通道相关的< d (n) > s控制着闭弦速子与d膜和/或o平面的耦合，因此它们的消失是闭扇区稳定的必要条件，但不是充分条件。同样，与树级振幅相关的扇区平均和编码了物理光谱中速子的存在，它们的消失是经典稳定性的充分条件，但不是必要条件。使用这种技术，很难，如果不是不可能，制定必要的和充分的标准，以不存在速子，因为在定向折叠真空中，它们可以通过定向折叠投影从光谱中去除。虽然在这些情况下，人们会天真地期望与不同振幅相关的< d (n) >之间的抵消，但这在实践中不会发生。我们提供了十维和更低维度的几个例子来支持我们的结果。
{"title":"Tachyons and Misaligned Supersymmetry in orientifold vacua","authors":"Giorgio Leone","doi":"10.1007/jhep11(2023)066","DOIUrl":"https://doi.org/10.1007/jhep11(2023)066","url":null,"abstract":"A bstract We extend the analysis of Misaligned Supersymmetry to orientifold vacua. The lack of modular invariance in the Klein bottle, annulus and Möbius strip amplitudes implies that the IR properties of the physical spectrum are related to the UV behaviour of closed strings freely propagating between D-branes and O-planes, and vice versa . We thus build sector averaged sums 〈 d ( n )〉 associated to both representations of each Riemann surface. We find that the 〈 d ( n )〉’s associated to the loop channel control the coupling of closed-string tachyons to D-branes and/or O-planes, and therefore their vanishing is a necessary, but not sufficient, condition for stability in the closed sector. Similarly, the sector averaged sums associated to the tree-level amplitudes encode the presence of tachyons in the physical spectrum, and their vanishing is a sufficient, but not necessary, condition for classical stability. Using this technology, it is difficult, if not impossible, to formulate necessary and sufficient criteria for the absence of tachyons since, in orientifold vacua, they can be removed from the spectrum by the orientifold projection. Although in these cases one would naively expect a cancellation between 〈 d ( n )〉’s associated to different amplitudes, this does not occur in practice. We provide several examples in ten and lower dimensions supporting our results.","PeriodicalId":48906,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135186881","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A bstract We study the motion of a gyroscope located far away from an isolated gravitational source in an asymptotically flat spacetime. As seen from a local frame tied to distant stars, the gyroscope precesses when gravitational waves cross its path, resulting in a net ‘orientation memory’ that carries information on the wave profile. At leading order in the inverse distance to the source, the memory consists of two terms: the first is linear in the metric perturbation and coincides with the spin memory effect, while the second is quadratic and measures the net helicity of the wave burst. Both are closely related to symmetries of the gravitational radiative phase space at null infinity: spin memory probes superrotation charges, while helicity is the canonical generator of local electric-magnetic duality on the celestial sphere.
{"title":"Gyroscopic gravitational memory","authors":"Ali Seraj, Blagoje Oblak","doi":"10.1007/jhep11(2023)057","DOIUrl":"https://doi.org/10.1007/jhep11(2023)057","url":null,"abstract":"A bstract We study the motion of a gyroscope located far away from an isolated gravitational source in an asymptotically flat spacetime. As seen from a local frame tied to distant stars, the gyroscope precesses when gravitational waves cross its path, resulting in a net ‘orientation memory’ that carries information on the wave profile. At leading order in the inverse distance to the source, the memory consists of two terms: the first is linear in the metric perturbation and coincides with the spin memory effect, while the second is quadratic and measures the net helicity of the wave burst. Both are closely related to symmetries of the gravitational radiative phase space at null infinity: spin memory probes superrotation charges, while helicity is the canonical generator of local electric-magnetic duality on the celestial sphere.","PeriodicalId":48906,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135087578","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A bstract We determine the first curvature correction for the string amplitude of two supergravity states and two Kaluza-Klein modes on AdS 5 ×S 5 , which is dual to the correlator $$ leftlangle {mathcal{O}}_2{mathcal{O}}_2{mathcal{O}}_p{mathcal{O}}_prightrangle $$ O2O2OpOp of half-BPS operators in $$ mathcal{N} $$ N = 4 SYM theory. The result has the form of an integral over the Riemann sphere as for the usual Virasoro-Shapiro amplitude, with the insertion of single-valued multiple polylogarithms of weight three. The result fixes OPE data of single-trace operators in $$ mathcal{N} $$ N = 4 SYM theory at strong coupling, including operators with non-zero R -charge and odd spin. We successfully check our results by comparing to data available from integrability, localisation and consistency with a 10 d effective action.
在$$ mathcal{N} $$ N = 4 SYM理论中，我们确定了ad5 ×S 5上两个超重力态和两个Kaluza-Klein模的弦幅的第一曲率修正，它是对半bps算子的相关子$$ leftlangle {mathcal{O}}_2{mathcal{O}}_2{mathcal{O}}_p{mathcal{O}}_prightrangle $$ O 2 O 2 O p O p的对偶。结果具有在黎曼球上对通常的Virasoro-Shapiro振幅进行积分的形式，并插入权值为3的单值多个多对数。结果将$$ mathcal{N} $$ N = 4 SYM理论中单迹算符的OPE数据固定在强耦合下，包括非零R电荷和奇自旋的算符。通过与10 d有效行动的可积性、本地化和一致性数据进行比较，我们成功地检查了我们的结果。
{"title":"AdS Virasoro-Shapiro amplitude with KK modes","authors":"Giulia Fardelli, Tobias Hansen, Joao A. Silva","doi":"10.1007/jhep11(2023)064","DOIUrl":"https://doi.org/10.1007/jhep11(2023)064","url":null,"abstract":"A bstract We determine the first curvature correction for the string amplitude of two supergravity states and two Kaluza-Klein modes on AdS 5 ×S 5 , which is dual to the correlator $$ leftlangle {mathcal{O}}_2{mathcal{O}}_2{mathcal{O}}_p{mathcal{O}}_prightrangle $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mfenced> <mml:mrow> <mml:msub> <mml:mi>O</mml:mi> <mml:mn>2</mml:mn> </mml:msub> <mml:msub> <mml:mi>O</mml:mi> <mml:mn>2</mml:mn> </mml:msub> <mml:msub> <mml:mi>O</mml:mi> <mml:mi>p</mml:mi> </mml:msub> <mml:msub> <mml:mi>O</mml:mi> <mml:mi>p</mml:mi> </mml:msub> </mml:mrow> </mml:mfenced> </mml:math> of half-BPS operators in $$ mathcal{N} $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>N</mml:mi> </mml:math> = 4 SYM theory. The result has the form of an integral over the Riemann sphere as for the usual Virasoro-Shapiro amplitude, with the insertion of single-valued multiple polylogarithms of weight three. The result fixes OPE data of single-trace operators in $$ mathcal{N} $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>N</mml:mi> </mml:math> = 4 SYM theory at strong coupling, including operators with non-zero R -charge and odd spin. We successfully check our results by comparing to data available from integrability, localisation and consistency with a 10 d effective action.","PeriodicalId":48906,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135141915","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A bstract The IP matrix model is a simple large N quantum mechanical model made up of an adjoint harmonic oscillator plus a fundamental harmonic oscillator. It is a model introduced previously as a toy model of the gauge theory dual of an AdS black hole. In the large N limit, one can solve the Schwinger-Dyson equation for the fundamental correlator, and at sufficiently high temperature, this model shows key signatures of thermalization and information loss; the correlator decay exponentially in time, and the spectral density becomes continuous and gapless. We study the Lanczos coefficients b n in this model and at sufficiently high temperature, it grows linearly in n with logarithmic corrections, which is one of the fastest growth under certain conditions. As a result, the Krylov complexity grows exponentially in time as $$ sim exp left(mathcal{O}left(sqrt{t}right)right) $$ ∼expOt . These results indicate that the IP model at sufficiently high temperature is chaotic.
IP矩阵模型是一个简单的大N量子力学模型，由一个伴随谐振子和一个基谐振子组成。这是一个以前作为标准理论对偶黑洞的玩具模型介绍的模型。在大N极限下，可以求解基本相关器的Schwinger-Dyson方程，并且在足够高的温度下，该模型显示出热化和信息损失的关键特征;相关器随时间呈指数衰减，谱密度变为连续无间隙。我们在该模型中研究了Lanczos系数bn，在足够高的温度下，它随n的对数修正线性增长，是在一定条件下增长最快的一种。因此，Krylov复杂度随时间呈指数增长，为$$ sim exp left(mathcal{O}left(sqrt{t}right)right) $$ ～ exp O t。这些结果表明，在足够高的温度下，IP模型是混沌的。
{"title":"Krylov complexity in the IP matrix model","authors":"Norihiro Iizuka, Mitsuhiro Nishida","doi":"10.1007/jhep11(2023)065","DOIUrl":"https://doi.org/10.1007/jhep11(2023)065","url":null,"abstract":"A bstract The IP matrix model is a simple large N quantum mechanical model made up of an adjoint harmonic oscillator plus a fundamental harmonic oscillator. It is a model introduced previously as a toy model of the gauge theory dual of an AdS black hole. In the large N limit, one can solve the Schwinger-Dyson equation for the fundamental correlator, and at sufficiently high temperature, this model shows key signatures of thermalization and information loss; the correlator decay exponentially in time, and the spectral density becomes continuous and gapless. We study the Lanczos coefficients b n in this model and at sufficiently high temperature, it grows linearly in n with logarithmic corrections, which is one of the fastest growth under certain conditions. As a result, the Krylov complexity grows exponentially in time as $$ sim exp left(mathcal{O}left(sqrt{t}right)right) $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mo>∼</mml:mo> <mml:mo>exp</mml:mo> <mml:mfenced> <mml:mrow> <mml:mi>O</mml:mi> <mml:mfenced> <mml:msqrt> <mml:mi>t</mml:mi> </mml:msqrt> </mml:mfenced> </mml:mrow> </mml:mfenced> </mml:math> . These results indicate that the IP model at sufficiently high temperature is chaotic.","PeriodicalId":48906,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135185954","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A bstract We recently constructed type-IIB compactifications to four dimensions depending on a single additional coordinate, where a five-form flux Φ on an internal torus leads to a constant string coupling. Supersymmetry is fully broken when the internal manifold includes a finite interval of length ℓ , which is spanned by a conformal coordinate in a finite range 0 < z < z m . Here we examine the low-lying bosonic spectra and their classical stability, paying special attention to self-adjoint boundary conditions. Special boundary conditions result in the emergence of zero modes, which are determined exactly by first-order equations. The different sectors of the spectrum can be related to Schrödinger operators on a finite interval, characterized by pairs of real constants μ and $$ overset{sim }{mu } $$ μ~ , with μ equal to 1/3 or 2/3 in all cases and different values of $$ overset{sim }{mu } $$ μ~ . The potentials behave as $$ frac{mu^2-1/4}{z^2} $$ μ2−1/4z2 and $$ frac{{overset{sim }{mu}}^2-1/4}{{left({z}_m-zright)}^2} $$ μ~2−1/4zm−z2 near the ends and can be closely approximated by exactly solvable trigonometric ones. With vanishing internal momenta, one can thus identify a wide range of boundary conditions granting perturbative stability, despite the intricacies that emerge in some sectors. For the Kaluza-Klein excitations of non-singlet vectors and scalars the Schrödinger systems couple pairs of fields, and the stability regions, which depend on the background, widen as the ratio Φ/ ℓ 4 decreases.
{"title":"A 4D IIB flux vacuum and supersymmetry breaking. Part II. Bosonic spectrum and stability","authors":"J. Mourad, A. Sagnotti","doi":"10.1007/jhep11(2023)061","DOIUrl":"https://doi.org/10.1007/jhep11(2023)061","url":null,"abstract":"A bstract We recently constructed type-IIB compactifications to four dimensions depending on a single additional coordinate, where a five-form flux Φ on an internal torus leads to a constant string coupling. Supersymmetry is fully broken when the internal manifold includes a finite interval of length ℓ , which is spanned by a conformal coordinate in a finite range 0 < z < z m . Here we examine the low-lying bosonic spectra and their classical stability, paying special attention to self-adjoint boundary conditions. Special boundary conditions result in the emergence of zero modes, which are determined exactly by first-order equations. The different sectors of the spectrum can be related to Schrödinger operators on a finite interval, characterized by pairs of real constants μ and $$ overset{sim }{mu } $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mover> <mml:mi>μ</mml:mi> <mml:mo>~</mml:mo> </mml:mover> </mml:math> , with μ equal to 1/3 or 2/3 in all cases and different values of $$ overset{sim }{mu } $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mover> <mml:mi>μ</mml:mi> <mml:mo>~</mml:mo> </mml:mover> </mml:math> . The potentials behave as $$ frac{mu^2-1/4}{z^2} $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mfrac> <mml:mrow> <mml:msup> <mml:mi>μ</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:mo>−</mml:mo> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:mn>4</mml:mn> </mml:mrow> <mml:msup> <mml:mi>z</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:mfrac> </mml:math> and $$ frac{{overset{sim }{mu}}^2-1/4}{{left({z}_m-zright)}^2} $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mfrac> <mml:mrow> <mml:msup> <mml:mover> <mml:mi>μ</mml:mi> <mml:mo>~</mml:mo> </mml:mover> <mml:mn>2</mml:mn> </mml:msup> <mml:mo>−</mml:mo> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:mn>4</mml:mn> </mml:mrow> <mml:msup> <mml:mfenced> <mml:mrow> <mml:msub> <mml:mi>z</mml:mi> <mml:mi>m</mml:mi> </mml:msub> <mml:mo>−</mml:mo> <mml:mi>z</mml:mi> </mml:mrow> </mml:mfenced> <mml:mn>2</mml:mn> </mml:msup> </mml:mfrac> </mml:math> near the ends and can be closely approximated by exactly solvable trigonometric ones. With vanishing internal momenta, one can thus identify a wide range of boundary conditions granting perturbative stability, despite the intricacies that emerge in some sectors. For the Kaluza-Klein excitations of non-singlet vectors and scalars the Schrödinger systems couple pairs of fields, and the stability regions, which depend on the background, widen as the ratio Φ/ ℓ 4 decreases.","PeriodicalId":48906,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135186095","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Gleb Aminov, Paolo Arnaudo, Giulio Bonelli, Alba Grassi, Alessandro Tanzini
A bstract We study black hole linear perturbation theory in a four-dimensional Schwarzschild (anti) de Sitter background. When dealing with a positive cosmological constant, the corresponding spectral problem is solved systematically via the Nekrasov-Shatashvili functions or, equivalently, classical Virasoro conformal blocks. However, this approach can be more complicated to implement for certain perturbations if the cosmological constant is negative . For these cases, we propose an alternative method to set up perturbation theory for both small and large black holes in an analytical manner. Our analysis reveals a new underlying recursive structure that involves multiple polylogarithms. We focus on gravitational, electromagnetic, and conformally coupled scalar perturbations subject to Dirichlet and Robin boundary conditions. The low-lying modes of the scalar sector of gravitational perturbations and its hydrodynamic limit are studied in detail.
{"title":"Black hole perturbation theory and multiple polylogarithms","authors":"Gleb Aminov, Paolo Arnaudo, Giulio Bonelli, Alba Grassi, Alessandro Tanzini","doi":"10.1007/jhep11(2023)059","DOIUrl":"https://doi.org/10.1007/jhep11(2023)059","url":null,"abstract":"A bstract We study black hole linear perturbation theory in a four-dimensional Schwarzschild (anti) de Sitter background. When dealing with a positive cosmological constant, the corresponding spectral problem is solved systematically via the Nekrasov-Shatashvili functions or, equivalently, classical Virasoro conformal blocks. However, this approach can be more complicated to implement for certain perturbations if the cosmological constant is negative . For these cases, we propose an alternative method to set up perturbation theory for both small and large black holes in an analytical manner. Our analysis reveals a new underlying recursive structure that involves multiple polylogarithms. We focus on gravitational, electromagnetic, and conformally coupled scalar perturbations subject to Dirichlet and Robin boundary conditions. The low-lying modes of the scalar sector of gravitational perturbations and its hydrodynamic limit are studied in detail.","PeriodicalId":48906,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135188169","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A bstract Strings on AdS 3 × S 3 × T 4 with mixed Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz flux are known to be classically integrable. This is a crucial property of this model, which cannot be studied by conventional worldsheet-CFT techniques. Integrability should carry over to the quantum level, and the worldsheet S matrix in the lightcone gauge is known up to the so-called dressing factors. In this work we study the kinematics of mixed-flux theories and consider a relativistic limit of the S matrix whereby we can complete the bootstrap program, including the dressing factors for fundamental particles and bound states. This provides an important test for the dressing factors of the full worldsheet model, and offers new insights on the features of the model when the amount of NSNS flux is low.
{"title":"On mixed-flux worldsheet scattering in AdS3/CFT2","authors":"Sergey Frolov, Davide Polvara, Alessandro Sfondrini","doi":"10.1007/jhep11(2023)055","DOIUrl":"https://doi.org/10.1007/jhep11(2023)055","url":null,"abstract":"A bstract Strings on AdS 3 × S 3 × T 4 with mixed Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz flux are known to be classically integrable. This is a crucial property of this model, which cannot be studied by conventional worldsheet-CFT techniques. Integrability should carry over to the quantum level, and the worldsheet S matrix in the lightcone gauge is known up to the so-called dressing factors. In this work we study the kinematics of mixed-flux theories and consider a relativistic limit of the S matrix whereby we can complete the bootstrap program, including the dressing factors for fundamental particles and bound states. This provides an important test for the dressing factors of the full worldsheet model, and offers new insights on the features of the model when the amount of NSNS flux is low.","PeriodicalId":48906,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135141296","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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