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Symplectic Grassmannian description of the Coulomb branch three and four point amplitudes 库仑分支三点和四点振幅的辛格拉斯曼描述
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-12-10 DOI: 10.1007/JHEP12(2025)073
Veronica Calvo Cortes, Yassine El Maazouz, Subramanya Hegde, Amit Suthar

We present a formulation of the three- and four-point amplitudes on the Coulomb branch of ( mathcal{N} ) = 4 SYM as integrals over the symplectic Grassmannian. We demonstrate that their kinematic spaces are equivalent to symplectic Grassmannians SpGr(n, 2n). For the three-point case, we express the amplitude as an integral over the symplectic Grassmannian in a specific little group frame. In the four-point case, we show that the integral yields the amplitude up to a known kinematic factor. Building on the four-dimensional analysis, we also express the six-dimensional ( mathcal{N} ) = (1, 1) SYM amplitude in terms of four-dimensional variables in a form that makes its symplectic Grassmannian structure manifest.

我们给出了( mathcal{N} ) = 4 SYM的库仑分支上的三点和四点振幅作为辛格拉斯曼积分的公式。我们证明了它们的运动空间等价于辛格拉斯曼函数SpGr(n, 2n)。对于三点情况,我们将振幅表示为特定小群坐标系中辛格拉斯曼的积分。在四点的情况下,我们表明,积分产生振幅到一个已知的运动学因子。在四维分析的基础上,我们还用四维变量表示了六维( mathcal{N} ) = (1,1) SYM振幅,其形式使其辛格拉斯曼结构得以体现。
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引用次数: 0
SL(2, ℤ) dualities of boundary conditions in Abelian M2-brane SCFTs Abelian m2 -膜scft中边界条件的SL(2, 0)对偶性
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-12-10 DOI: 10.1007/JHEP12(2025)070
Tadashi Okazaki, Douglas J. Smith

We propose SL(2, ℤ) dualities of supersymmetric boundary conditions in the three-dimensional supersymmetric field theories describing a semi-infinite M2-brane terminating on M5-branes. Specifically, we present dualities of boundary conditions for Abelian (quiver) ADHM theories and circular quiver Chern-Simons matter theories including the ABJM model. For the circular quiver Chern-Simons theories we take boundary conditions breaking a U(1)1 × U(1)−1 gauge group to its diagonal subgroup which is decoupled. This can be generalized to break U(1)k × U(1)k, leaving a ℤk gauge theory. We find matching of the ’t Hooft anomalies and supersymmetric half-indices for all the proposed dual boundary conditions.

在描述半无限m2膜终止于m5膜的三维超对称场论中,提出了超对称边界条件的SL(2, 0)对偶性。具体来说,我们给出了包括ABJM模型的Abelian(颤振)ADHM理论和圆颤振chen - simons物质理论的边界条件的对偶性。对于圆颤振chen - simons理论,我们取U(1)1 × U(1)−1规范群到解耦的对角线子群的边界条件。这可以推广到打破U(1)k × U(1)−k,留下一个lgk规范理论。我们发现了所有提出的对偶边界条件下的t Hooft异常和超对称半指标的匹配。
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引用次数: 0
ADE triality via (non-)invertible symmetry gauging 通过(非)可逆对称测量的ADE三度性
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-12-10 DOI: 10.1007/JHEP12(2025)062
Takahilo Tanaka, Yu Nakayama

It is long known that A-series minimal models and D-series minimal models are exchanged by gauging the invertible ℤ2 symmetry. More recently, it has been shown that A-series minimal models and E-series minimal models are exchanged by gauging a non-invertible symmetry. We complete the triality picture by showing that D-series minimal models and E-series minimal models are exchanged by gauging another non-invertible symmetry.

众所周知,a系列极小模型和d系列极小模型是通过测量可逆的2对称来交换的。最近,已经证明了a系列极小模型和e系列极小模型是通过测量一个不可逆对称来交换的。通过测量另一种不可逆对称,我们证明了d系列极小模型和e系列极小模型是相互交换的,从而完成了三角性图。
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引用次数: 0
Solvable models of heat transport in quantum mechanics 量子力学中热输运的可解模型
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-12-10 DOI: 10.1007/JHEP12(2025)071
R Loganayagam, Prithvi Narayan, T S Swathi

We investigate solvable models of heat transport between a pair of quantum mechanical systems initialized at two different temperatures. At time t = 0, a weak interaction is switched on between the systems, and we study the resulting energy transport. Focusing on the heat current as the primary observable, we analyze both the transient dynamics and the long-time behavior of the system. We demonstrate that simple toy models — including Random Matrix Theory like models (RMT models) and Schwarzian like models (conformal models) — can capture many generic features of heat transport, such as transient current peaks and the emergence of non-equilibrium steady state (NESS). For these models, we derive a variety of exact results characterizing the short time transients, long time approach to NESS and thermal conductivity. Finally, we show how these features appear in a more realistic solvable model, the Double-Scaled SYK (DSSYK) model. We demonstrate that the DSSYK model interpolates between the seemingly distinct toy models discussed earlier, with the toy models in turn providing a useful lens through which to understand the rich features of DSSYK.

我们研究了在两个不同温度下初始化的一对量子力学系统之间的热传递的可解模型。在时间t = 0时,系统之间开启弱相互作用,我们研究了由此产生的能量输运。以热流为主要观测对象,分析了系统的瞬态动力学和长期行为。我们证明了简单的玩具模型-包括随机矩阵理论模型(RMT模型)和Schwarzian模型(共形模型)-可以捕获热传输的许多一般特征,例如瞬态电流峰值和非平衡稳态(NESS)的出现。对于这些模型,我们得出了各种精确的结果,这些结果表征了短时间瞬态,长时间接近NESS和导热系数。最后,我们展示了这些特征如何出现在一个更现实的可解模型中,即双尺度SYK (DSSYK)模型。我们证明了DSSYK模型在前面讨论的看似不同的玩具模型之间插入,玩具模型反过来提供了一个有用的镜头,通过它来理解DSSYK的丰富特征。
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引用次数: 0
Complexity equals anything for multi-horizon black holes 对于多视界黑洞来说,复杂性等于任何东西
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-12-10 DOI: 10.1007/JHEP12(2025)072
Hong-Yue Jiang, Yu-Xiao Liu

We investigate the “complexity equals anything” proposal with codimension-one and codimension-zero gravitational observables for multi-horizon black holes, using the Bardeen-AdS class black hole as an example. In particular, we compare the results with the “complexity equals volume” (CV) proposal and find that the generalized volume complexitiy enables the probing of a more complete black hole interior, that is, all spacetime regions where the blackening factor f (r) < 0. This is the advantage brought by the flexibility of this holographic complexity conjecture. In addition, we compute the codimension-zero gravitational observables derived from various geometric quantities and show that these constructions can effectively differentiate the distinct interior regions of the black hole.

我们以Bardeen-AdS类黑洞为例,研究了余维为1和余维为0的多视界黑洞引力观测“复杂性等于任何东西”的建议。特别地,我们将结果与“复杂度等于体积”(CV)的建议进行了比较,发现广义体积复杂度可以探测更完整的黑洞内部,即黑化因子f (r) <; 0的所有时空区域。这是这种全息复杂性猜想的灵活性所带来的优点。此外,我们计算了由各种几何量衍生的零余维引力观测值,并表明这些结构可以有效地区分黑洞的不同内部区域。
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引用次数: 0
Semi-inclusive deep inelastic scattering off a tensor-polarized spin-1 target 张量极化自旋-1目标的半包容深度非弹性散射
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-12-10 DOI: 10.1007/JHEP12(2025)067
Jing Zhao, Alessandro Bacchetta, Shunzo Kumano, Tianbo Liu, Ya-jin Zhou

We investigate the semi-inclusive deep inelastic scattering off a tensor-polarized spin-1 target, focusing on the production of an unpolarized hadron. The complete differential cross section is expressed in terms of 23 structure functions, which depend on the spin states of the target and the azimuthal modulations of the final-state hadron. Within the transverse momentum dependent (TMD) factorization framework, we derive the hadronic tensor using quark-quark correlators and quark-gluon-quark correlators up to twist-3. At tree-level, 21 nonvanishing structure functions are obtained at the leading and subleading twist, expressed as convolutions of TMD parton distribution functions and TMD fragmentation functions. The measurement of these nonzero structure functions can be utilized to explore the tensor-polarized structure of spin-1 particles, offering insights into their internal dynamics.

我们研究了张量极化自旋-1目标的半包容深度非弹性散射,重点研究了非极化强子的产生。完整的微分截面用23个结构函数表示,这些结构函数依赖于目标的自旋态和最终态强子的方位调制。在横向动量依赖(TMD)分解框架内,我们利用夸克-夸克相关器和夸克-胶子-夸克相关器导出了强子张量。在树级上,得到了21个非消失结构函数,分别表示为TMD部分分布函数和TMD碎片函数的卷积。这些非零结构函数的测量可以用来探索自旋为1的粒子的张量极化结构,提供对其内部动力学的见解。
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引用次数: 0
The holographic ( textrm{T}overline{textrm{T}} ) deformation of the CFT2 with gravitational anomalies 具有重力异常的CFT2全息( textrm{T}overline{textrm{T}} )变形
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-12-10 DOI: 10.1007/JHEP12(2025)061
Debarshi Basu, Qiang Wen, Mingshuai Xu

We develop the holographic framework for the ( Toverline{T} ) deformation of two-dimensional conformal field theories (CFT2) with gravitational anomalies, characterized by unequal left and right central charges and holographically dual to topological massive gravity (TMG). Utilizing the mixed boundary condition prescription, we construct the deformed BTZ black hole geometry and derive the corresponding deformed energy spectrum, confirming that the universal flow equation remains valid despite the presence of gravitational anomalies. From the boundary perspective, we compute leading-order corrections to entanglement entropy and reflected entropy induced by the ( Toverline{T} ) deformation, as well as the balanced partial entanglement entropy non-perturbatively. On the gravity side, these quantities are evaluated using spinning worldlines in the deformed bulk geometry, with results matching their field-theoretic counterparts in the high-temperature limit. We further analyze the reality condition for holographic entanglement entropy, which constrains the deformation parameter and reveals a generalized Hagedorn behavior. This Hagedorn-like transition is also independently reproduced from the asymptotic density of states in the deformed anomalous CFT2, providing additional evidence for its universality.

我们开发了二维共形场理论(CFT2)的( Toverline{T} )变形的全息框架,该理论具有引力异常,其特征是左右中心电荷不等,并且全息对偶于拓扑质量引力(TMG)。利用混合边界条件处方,构造了变形的BTZ黑洞几何形状,并推导了相应的变形能谱,证实了万向流动方程在存在引力异常的情况下仍然有效。从边界的角度,我们计算了由( Toverline{T} )变形引起的纠缠熵和反射熵的前阶修正,以及平衡的部分纠缠熵的非摄动。在重力方面,使用变形体几何中的旋转世界线对这些量进行了评估,结果与高温极限下的场理论对应结果相匹配。我们进一步分析了全息纠缠熵的现实条件,它约束了变形参数,揭示了广义Hagedorn行为。这种Hagedorn-like跃迁也可以从变形反常CFT2的渐近态密度中独立再现,为其普适性提供了额外的证据。
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引用次数: 0
AdS vacua of non-supersymmetric strings 非超对称弦的AdS真空
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-12-10 DOI: 10.1007/JHEP12(2025)057
Salvatore Raucci, Alessandro Tomasiello

Few vacua are known for the three tachyon-free non-supersymmetric string theories. We find new classes of AdS backgrounds by focusing on spaces where the equations of motion reduce to purely algebraic conditions. Our first examples involve non-zero three-form fluxes supported either on direct product internal spaces or on Tp,q geometries. For the SO(16) × SO(16) heterotic string, we then develop a method to engineer vacua with the addition of gauge fields. A formal Kaluza-Klein reduction yields complete solutions on a broad class of coset spaces G/H, automatically satisfying the three-form Bianchi identities with H-valued gauge fields.

很少有真空以三种无速子的非超对称弦理论而闻名。通过关注运动方程简化为纯代数条件的空间,我们发现了一类新的AdS背景。我们的第一个例子涉及非零三形式通量,支持在直接积内空间或在Tp,q几何上。对于SO(16) × SO(16)异质弦,我们开发了一种通过增加规范场来设计真空的方法。一个正式的Kaluza-Klein约简在一类广义的协集空间G/H上得到完全解,自动满足具有H值规范域的三形式Bianchi恒等式。
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引用次数: 0
Resurgence for large C expansion in Coulomb gas formalism 库仑气体形式论中大C膨胀的再现
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-12-10 DOI: 10.1007/JHEP12(2025)056
Yong Li, Hongfei Shu

We develop a resurgence analysis for large central charge (large C) expansions in two-dimensional CFTs using the Coulomb gas formalism. Through the exact Borel-Laplace representations of the conformal blocks I1(C, z) and I2(C, z) associated with the four-point correlation function (langle {phi }_{2,1}left(0right){phi }_{2,1}left(z, overline{z }right){phi }_{2,1}left(1right){phi }_{2,1}(infty )rangle ), we demonstrate that I1(C, z) participates in the Stokes phenomenon of I2(C, z) (and vice versa), and establish that monodromy in z arises from alien calculus in the Borel plane variable ζ (Borel dual to C). From a given conformal block, resurgence theory thus enables us to discover other internal operators (conformal blocks). This approach establishes a non-perturbative connection between conformal blocks, shedding light on the resurgence phenomena in more general quantum field theories.

我们利用库仑气体形式对二维cft中的大中心电荷(大C)展开进行了回弹分析。通过与四点相关函数(langle {phi }_{2,1}left(0right){phi }_{2,1}left(z, overline{z }right){phi }_{2,1}left(1right){phi }_{2,1}(infty )rangle )相关联的共形块I1(C, z)和I2(C, z)的精确Borel- laplace表示,我们证明了I1(C, z)参与I2(C, z)的Stokes现象(反之亦然),并建立了z的单态是由Borel平面变量ζ (Borel对偶到C)的外来微积分引起的。因此,从给定的共形块中,复苏理论使我们能够发现其他内部算子(共形块)。这种方法在共形块之间建立了一种非微扰连接,为更一般的量子场论中的死灰复燃现象提供了启示。
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引用次数: 0
Generalized parton distributions and gravitational form factors at large momentum transfer 大动量传递中的广义部子分布和引力形式因子
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-12-10 DOI: 10.1007/JHEP12(2025)058
Yoshitaka Hatta, Jakob Schoenleber

Within the soft collinear effective theory (SCET), we derive a factorization theorem which resums Sudakov logarithms (αs ln2( –t))n to all orders in the quark-in-quark generalized parton distribution (GPD) at large momentum transfer t, and perform a consistency check to one-loop. We show that the same Sudakov factor appears in the ‘Feynman’ contribution to the GPDs of the nucleon. Our result enables the resummation of all the large logarithms ln Q2 and ln2 t in exclusive processes with two hard scales ( {Lambda}_{textrm{QCD}}^2 ) ≪ |t| ≪ Q2. We also present a SCET power counting analysis of the Feynman contributions to the GPDs and show that the x-dependence of GPDs factorizes at large-t with controlled corrections. This in particular implies that any ratio of GPD moments such as the electromagnetic and gravitational form factors (GFF) is perturbatively calculable in this approximation. Furthermore, we identify a novel order αs power-law t-dependence in the GPD and the D-type GFF that will dominate over the standard order ( left({alpha}_s^2right) ) ‘leading twist’ asymptotic contribution in the phenomenologically relevant region of t.

在软共线有效理论(SCET)中,导出了在动量传递t大的夸克-夸克广义部子分布(GPD)中,将Sudakov对数(αs ln2(-t))n还原到所有阶的分解定理,并对一个环进行了一致性检验。我们表明,同样的苏达科夫因子出现在核子的“费曼”贡献的gpd中。我们的研究结果使所有的大对数ln Q2和ln2t能够在两个硬刻度( {Lambda}_{textrm{QCD}}^2 )≪|t|≪Q2的专属过程中恢复。我们还提出了Feynman对gpd的贡献的SCET功率计数分析,并表明gpd的x依赖性在很大程度上与控制校正相关联。这特别意味着GPD矩的任何比例,如电磁和引力形状因子(GFF),在这个近似中都是可微扰计算的。此外,我们在GPD和d型GFF中发现了一种新的阶αs幂律t依赖性,它将在t的现象学相关区域中主导标准阶( left({alpha}_s^2right) )“前导扭转”渐近贡献。
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引用次数: 0
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Journal of High Energy Physics
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