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Physical Representations of Corner Symmetries 角对称的物理表示法
Pub Date : 2024-09-16 DOI: arxiv-2409.10624
Ludovic Varrin
We give the full representation theory of the gravitational extended cornersymmetry group in two-dimensions. This includes projective representations,which correspond to representations of the quantum corner symmetry group. Webegin with a review of Mackey's theory of induced representations and thenproceed to its application to the corner symmetries. The field representations,induced from the irreducible representations of the special linear group areworked out first. The little group method is then applied to the extendedcorner symmetry group to obtain the irreducible unitary representations.Finally, we focus on projective representations and their application to thedescription of local subsystems.
我们给出了二维引力扩展角对称群的完整表示理论。其中包括与量子角对称群的表示相对应的投影表示。我们首先回顾了麦基的诱导表示理论,然后将其应用于角对称。我们首先研究了从特殊线性群的不可还原表征诱导出的场表征。最后,我们重点讨论投影表示及其在局部子系统描述中的应用。
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引用次数: 0
The Quantum Gravity Scale and the Swampland 量子引力尺度与沼泽地
Pub Date : 2024-09-16 DOI: arxiv-2409.10003
Alberto Castellano
This thesis investigates the role of the quantum gravity cut-off foreffective field theories (EFTs) coupled to Einstein gravity, with an emphasison its implications at low energies within the context of the Swamplandprogram. Part I reviews the relevant aspects of string theory compactificationsin different number of spacetime dimensions and with different amounts ofsupersymmetry preserved. In Part II a model-independent approach is employed soas to determine the maximum regime of validity of any such EFT, identifying thespecies scale as the natural candidate for the quantum gravity cut-off. Wereview various arguments proposed in the literature as well as include severalnew considerations on the matter. Part III provides a systematic study of thisframework in string theory compactifications, yielding significant agreementwith the previous perturbative and non-perturbative analysis. We also analyzevarious applications of this concept within the Swampland program, includingthe purported phenomenon of Emergence. Finally, in Part IV we explore the mostimmediate implications that this picture would have in the infrared regime,thus uncovering intriguing universal properties associated to theaforementioned energy scale, such as precise lower bounds on its exponentialdecay rates as well as certain patterns holding within the infinite distancecorners of moduli space. The thesis includes new results scattered over thedifferent chapters therein, which have not appeared in the author's originalpublications.
本论文研究了与爱因斯坦引力耦合的有效场论(EFTs)的量子引力截止的作用,重点是它在沼泽地计划背景下对低能的影响。第一部分回顾了弦理论在不同时空维数和不同超对称性保留量下的压缩的相关方面。第二部分采用了一种与模型无关的方法,以确定任何此类 EFT 的最大有效性机制,并将物种尺度确定为量子引力截止的自然候选尺度。我们回顾了文献中提出的各种论点,并对这一问题进行了一些新的思考。第三部分系统地研究了弦理论紧凑性中的这一框架,结果与之前的微扰和非微扰分析大体一致。我们还分析了这一概念在沼泽地计划中的各种应用,包括所谓的 "涌现 "现象。最后,在第四部分中,我们探讨了这幅图景在红外系统中的最直接影响,从而揭示了与上述能量尺度相关的有趣的普遍性质,例如其指数衰减率的精确下限,以及在模态空间无限距离角内保持的某些模式。论文包括散见于其中不同章节的新成果,这些成果未曾出现在作者的原始出版物中。
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引用次数: 0
Gravitational chargegenesis 引力电荷成因
Pub Date : 2024-09-16 DOI: arxiv-2409.10605
Martin A. Mojahed, Kai Schmitz, Xun-Jie Xu
Wash-in leptogenesis is an attractive mechanism to produce the baryonasymmetry of the Universe. It treats right-handed-neutrino interactions asspectator processes, on the same footing as electroweak sphalerons, thatreprocess primordial charge asymmetries in the thermal plasma into abaryon-minus-lepton asymmetry. The origin of these primordial charges must beaccounted for by new $CP$-violating dynamics at very high energies. In thispaper, we propose such a scenario of chargegenesis that, unlike earlierproposals, primarily relies on new interactions in the gravitational sector. Wepoint out that a coupling of a conserved current to the divergence of the Ricciscalar during reheating can lead to nonzero effective chemical potentials inthe plasma that, together with a suitable charge-violating interaction, canresult in the production of a primordial charge asymmetry. Gravitationalchargegenesis represents a substantial generalization of the idea ofgravitational baryogenesis. We provide a detailed analysis of a generic andminimal realization that is consistent with inflation and show that it cansuccessfully explain the baryon asymmetry of the Universe.
洗入式轻子发生是产生宇宙重子不对称的一种有吸引力的机制。它将右旋中微子相互作用视为与电弱闪子相同的旁观者过程,将热等离子体中的原始电荷不对称性加工成重子-轻轻子不对称性。这些原始电荷的起源必须在极高能量下通过新的违反 $CP$ 的动力学来解释。在本文中,我们提出了这样一种电荷起源方案,与先前的方案不同,它主要依赖于引力部门的新相互作用。我们指出,在再加热过程中,守恒电流与里奇卡尔发散的耦合会导致等离子体内的非零有效化学势,再加上合适的电荷破坏相互作用,就会产生原始电荷不对称。引力电荷发生是对引力重力发生思想的实质性概括。我们详细分析了与暴胀一致的一般和最小实现,并证明它能成功解释宇宙的重子不对称现象。
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引用次数: 0
Rindler Wigner distributions for non-vacuum Minkowski states 非真空闵科夫斯基态的林德勒-维格纳分布
Pub Date : 2024-09-16 DOI: arxiv-2409.10054
Nitesh K. Dubey, Sanved Kolekar
In the 1970s, Fulling, Davies, and Unruh demonstrated that the vacuum stateperceived by an inertial observer in Minkowski space appears as a thermal bathto a uniformly accelerated observer. We explore the transformation of theWigner distribution of a real scalar field from an inertial to a Rindler frame,utilizing both Minkowski and Unruh modes. We present a general expression forthe reduced Wigner distribution for a specific set of massless scalar fieldconfigurations, and validate it against known distributions within this set.This includes arbitrary Gaussian states of Unruh-Minkowski modes, the Minkowskivacuum state, the Rindler vacuum, and the thermal bath of Unruh particles.Additionally, we analyze several other distributions, such as a uniformmomentum distribution, a slight deviation from the Minkowski vacuum, and adistribution with a Fermionic component in the Rindler frame. The conclusionsare discussed.
20 世纪 70 年代,富林、戴维斯和乌恩鲁证明,闵科夫斯基空间中的惯性观测者所感知的真空状态,在匀加速观测者看来是一个热水浴。我们探讨了实标量场的维格纳分布从惯性框架到林德勒框架的变换,同时利用了闵科夫斯基模式和乌恩鲁模式。我们提出了一组特定无质量标量场配置的还原维格纳分布的一般表达式,并根据这组配置中的已知分布进行了验证,其中包括 Unruh-Minkowski 模式的任意高斯态、Minkowskivacuum 态、Rindler 真空和 Unruh 粒子的热浴。此外,我们还分析了其他几种分布,如统一动量分布、与 Minkowski 真空的轻微偏差以及 Rindler 框架中具有费米子分量的分布。我们对结论进行了讨论。
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引用次数: 0
Quantum Anomalies and Parity-odd CFT Correlators for Chiral States of Matter 物质手性态的量子反常和奇偶校验 CFT 关联器
Pub Date : 2024-09-16 DOI: arxiv-2409.10480
Claudio Corianó, Stefano Lionetti
Chiral currents influence the parity-odd sector of CFT correlators inmomentum space, playing a crucial role in the evolution of the quark-gluonplasma in the early universe. We demonstrate that these parity-oddinteractions, which couple quarks and gluons to gravitons, can be fullydetermined in terms of their anomaly content by solving the conformalconstraints in momentum space. This process involves a single nonlocal,massless axion-like interaction in the longitudinal channel, which remainsprotected against thermal and finite density effects.
手性电流影响着动量空间中CFT相关子的奇偶性-偶性扇区,在早期宇宙中夸克-胶子等离子体的演化中起着至关重要的作用。我们证明了这些将夸克和胶子与引力子耦合在一起的奇偶性-反常相互作用,可以通过求解动量空间中的共形约束来完全确定其反常含量。这一过程涉及纵向通道中单一的非局域、无质量的类轴子相互作用,它不受热效应和有限密度效应的影响。
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引用次数: 0
Off-diagonal coupling of supersymmetric SYK model 超对称 SYK 模型的非对角耦合
Pub Date : 2024-09-16 DOI: arxiv-2409.10113
Chenhao Zhang, Wenhe Cai
In this work, we consider the off-diagonal coupling between twosupersymmetric SYK models, which preserves both supersymmetry and solvability.We found that the interaction terms of the N=2 supersymmetric SYK have aholographic interpretation as a possible supersymmetric traversable wormhole.First we introduce the coupling in the trivial Homologic N=1 SYK model as asimplified example. Similar couplings can be implied in N=2 chiral SYK modelwith BPS states. We propose a special form of N=4 SYK by introducingsupermultiplets, and which also naturally include the coupling terms. Theholographic picture of N=4 SYK does not have an eternal solution in the lowenergy limit. And the effective actions are studied in both thermal limit andlow energy limit. We also investigate the SYK-like thermal field double statesof the supersymmetric SYK and the transmission amplitude between single-sideN=2 models in Lorentz time. Additionally, the multi-side N=2,4 OTOCs are alsostudied.
在这项工作中,我们考虑了两个超对称SYK模型之间的对角线外耦合,它同时保留了超对称性和可解性。我们发现N=2超对称SYK的相互作用项具有全息解释,即可能的超对称可穿越虫洞。类似的耦合也可以隐含在具有BPS态的N=2手性SYK模型中。我们提出了一种特殊形式的 N=4 SYK,它引入了超多子,也自然包含了耦合项。N=4 SYK的全息图像在低能极限并没有永恒解。我们同时研究了热极限和低能极限的有效作用。我们还研究了超对称SYK的类SYK热场双态以及洛伦兹时间中单侧N=2模型之间的传输振幅。此外,我们还研究了多面 N=2,4 OTOCs。
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引用次数: 0
Full-shape analysis with simulation-based priors: cosmological parameters and the structure growth anomaly 基于模拟先验的全形分析:宇宙学参数和结构增长异常
Pub Date : 2024-09-16 DOI: arxiv-2409.10609
Mikhail M. Ivanov, Andrej Obuljen, Carolina Cuesta-Lazaro, Michael W. Toomey
We explore full-shape analysis with simulation-based priors, which is thesimplest approach to galaxy clustering data analysis that combines effectivefield theory (EFT) on large scales and numerical simulations on small scales.The core ingredient of our approach is the prior density of EFT parameterswhich we extract from a suite of 10500 galaxy simulations based on the halooccupation distribution (HOD) model. We measure the EFT parameters with thefield-level forward model, which enables us to cancel cosmic variance. On thetheory side, we develop a new efficient approach to calculate field-leveltransfer functions using time-sliced perturbation theory and the logarithmicfast Fourier transform. We study cosmology dependence of EFT parameters of darkmatter halos and HOD galaxies and find that it can be ignored for the purposeof prior generation. We use neural density estimation to model the measureddistribution of EFT parameters. Our distribution model is then used as a priorin a reanalysis of the BOSS full-shape galaxy power spectrum data. Assuming the$Lambda$CDM model, we find significant ($approx 30%$ and $approx 60%$)improvements for the matter density fraction and the mass fluctuationamplitude, which are constrained to $Omega_m= 0.315 pm 0.010$ and $sigma_8 =0.671 pm 0.027$. The value of the Hubble constant does not change, $H_0=68.7pm 1.1$ km/s/Mpc. This reaffirms earlier reports of the structure growthtension from the BOSS data. Finally, we use the measured EFT parameters toconstrain galaxy formation physics.
我们探索了基于模拟先验的全形分析,这是结合大尺度有效场理论(EFT)和小尺度数值模拟的星系聚类数据分析的最简单方法。我们方法的核心成分是EFT参数的先验密度,我们从基于半占分布(HOD)模型的10500套星系模拟中提取了EFT参数的先验密度。我们用场级前向模型来测量EFT参数,这使我们能够消除宇宙方差。在理论方面,我们开发了一种新的高效方法,利用时间切片扰动理论和对数快速傅立叶变换来计算场级转移函数。我们研究了暗物质晕和HOD星系的EFT参数的宇宙学依赖性,发现在先验生成中可以忽略它。我们使用神经密度估计来模拟 EFT 参数的测量分布。我们的分布模型随后被用作重新分析BOSS全形星系功率谱数据的先验数据。假定是LambdaCDM模型,我们发现物质密度分数和质量波动振幅都有了显著的改善(大约30%和大约60%),它们被约束为:Omega_m= 0.315 pm 0.010$和sigma_8=0.671 pm 0.027$。哈勃常数的值没有变化,为 $H_0=68.7pm 1.1$ km/s/Mpc。这再次印证了之前关于BOSS数据中结构增长张力的报告。最后,我们利用测量到的EFT参数来约束星系形成物理学。
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引用次数: 0
UV complete local field theory of persistent symmetry breaking in 2+1 dimensions 2+1 维持久对称破缺的紫外完整局域场理论
Pub Date : 2024-09-16 DOI: arxiv-2409.10606
Bilal Hawashin, Junchen Rong, Michael M. Scherer
Spontaneous symmetry breaking can persist at all temperatures in certainbiconical $mathrm{O}(N)times mathbb{Z}_2$ vector models when the underlyingfield theories are ultraviolet complete. So far, the existence of such theorieshas been established in fractional dimensions for local but nonunitary modelsor in 2+1 dimensions but for nonlocal models. Here, we study local models atzero and finite temperature directly in 2+1 dimensions employing functionalmethods. At zero temperature, we establish that our approach describes thequantum critical behaviour with high accuracy for all $Ngeq 2$. We thenexhibit the mechanism of discrete symmetry breaking from $mathrm{O}(N)timesmathbb{Z}_2to mathrm{O}(N)$ for increasing temperature near the biconicalcritical point when $N$ is finite but large. We calculate the correspondingfinite-temperature phase diagram and further show that theHohenberg-Mermin-Wagner theorem is fully respected within this approach, i.e.,symmetry breaking only occurs in the $mathbb{Z}_2$ sector. Finally, wedetermine the critical $N$ above which this phenomenon can be observed to be$N_c approx 15$.
当底层场理论是紫外完全的时候,自发对称破缺可以在某些双向$mathrm{O}(N)times mathbb{Z}_2$矢量模型的所有温度下持续存在。到目前为止,这种理论的存在已经在分数维度的局部但非单元模型,或者在2+1维度的非局部模型中得到了证实。在这里,我们采用函数方法直接在 2+1 维中研究零温度和有限温度下的局部模型。在零温度下,我们证明我们的方法可以高精度地描述所有 $Ngeq 2$ 的量子临界行为。我们还展示了当 $N$ 有限但较大时,在双临界点附近温度升高时,从 $mathrm{O}(N)timesmathbb{Z}_2 到 mathrm{O}(N)$ 的离散对称性破缺机制。我们计算了相应的有限温度相图,并进一步证明在这种方法中完全遵守了霍恩伯格-梅明-瓦格纳定理,即对称性破缺只发生在 $mathbb{Z}_2$ 部门。最后,我们确定了观察到这一现象的临界值$N$为$N_c (约15$)。
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引用次数: 0
Non-Gaussianity Beyond the Scalar Sector: A Search for Tensor and Mixed Tensor-Scalar Bispectra with Planck Data 标量部门之外的非高斯性:利用普朗克数据寻找张量和张量-标量混合双谱
Pub Date : 2024-09-16 DOI: arxiv-2409.10595
Oliver H. E. Philcox, Maresuke Shiraishi
Primordial gravitational waves could be non-Gaussian, just like primordialscalar perturbations. Although the tensor two-point function has thus-farremained elusive, the three-point function could, in principle, be large enoughto be detected in Cosmic Microwave Background temperature and polarizationanisotropies. We perform a detailed analysis of tensor and mixed tensor-scalarnon-Gaussianity through the Planck PR4 bispectrum, placing constraints oneleven primordial templates, spanning various phenomenological and physicalregimes including modifications to gravity, additional fields in inflation, andprimordial magnetic fields. All analysis is performed using modernquasi-optimal binned estimators, and yields no evidence for tensornon-Gaussianity, with a maximum detection significance of $1.8sigma$. Ourconstraints are derived primarily from large-scales (except fortensor-scalar-scalar models), and benefit greatly from the inclusion of$B$-modes. Although we find some loss of information from binning, mask effectsand residual foreground contamination, our $f_{rm NL}$ bounds improve overthose of previous analyses by $40-600%$, with six of the eleven models beinganalyzed for the first time. Unlike for scalar non-Gaussianity, futurelow-noise experiments such as LiteBIRD, the Simons Observatory and CMB-S4, willyield considerable improvement in tensor non-Gaussianity constraints.
原始引力波可能是非高斯的,就像原始尺度扰动一样。虽然张量两点函数至今仍难以捉摸,但三点函数原则上可以大到足以在宇宙微波背景温度和偏振各向异性中探测到。我们通过普朗克 PR4 双谱对张量和混合张量-斯卡隆-高斯性进行了详细分析,并对十一个原始模板进行了约束,这些模板跨越了各种现象学和物理机制,包括引力的修正、暴胀中的附加场和原始磁场。所有分析都是使用现代准最优分档估计器进行的,没有发现张角高斯性的证据,最大探测意义为1.8(sigma$)。我们的约束条件主要来自大尺度(张量-尺度-尺度模型除外),并从包含 B$模式中获益匪浅。尽管我们发现由于分选、掩码效应和残余前景污染造成了一些信息损失,但我们的$f_{rm NL}$约束比以前的分析提高了40-600%$,11个模型中有6个是第一次分析。与标量非高斯性不同的是,未来的低噪声实验,如LiteBIRD、西蒙斯天文台和CMB-S4,将大大改进张量非高斯性约束。
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引用次数: 0
Is the real two-Higgs-doublet model consistent? 真实的双希格斯双重模型是否一致?
Pub Date : 2024-09-16 DOI: arxiv-2409.10603
Carlos Henrique de Lima, Heather E. Logan
We provide strong evidence that the widely-studied real two-Higgs-doubletmodel is inconsistent under renormalization due to quark-induced divergent CPviolation (CPV). We identify the necessary ingredients for the CPV to enter therenormalization-group equations based on symmetry proprieties of the divergentdiagrams. We demonstrate that while these ingredients are present starting atsix loops, the divergent CPV is zero at that order due to approximatesymmetries. We show that these symmetries are broken at seven loops anddetermine the parameter dependence of the resulting divergent CPV.
我们提供了强有力的证据,证明由于夸克诱导的发散CP暴力(CPV),被广泛研究的真实双希格斯双模型在重正化条件下是不一致的。我们根据发散图的对称性特性,确定了CPV进入重正化方程的必要条件。我们证明,虽然这些成分从六个环开始就存在,但由于近似对称性,发散 CPV 在该阶为零。我们证明了这些对称性在七个环时被打破,并确定了由此产生的发散 CPV 的参数依赖性。
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引用次数: 0
期刊
arXiv - PHYS - High Energy Physics - Theory
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