发表机构
Center of Gravity, Niels Bohr Institute, Copenhagen University; Nordita, KTH Royal Institute of Technology and Stockholm University（哥本哈根大学尼尔斯·玻尔研究所引力中心; 斯德哥尔摩大学和瑞典皇家理工学院诺迪塔）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文开创了扭曲BPS解耦极限的研究，其BPS态携带沿几何扭曲圆纤维的动量，在AdS$_5\times S^5$中涉及PSU(2,2|4)对称代数，并揭示非洛伦兹几何与辛结构，对偶于Spin Matrix理论极限，为AdS/CFT非微扰区域提供量子力学描述。
AI 中文摘要
弦理论和M理论的BPS解耦极限已为引力和非微扰量子理论带来深刻见解，最著名的是AdS/CFT对应。本文中，我们开创了对扭曲BPS解耦极限的研究，其中相关的BPS态携带沿圆纤维的动量，这些圆纤维在基空间上几何扭曲。主要例子出现在AdS$_5\times S^5$上的IIB型弦理论中，其扭曲极限涉及全局对称代数PSU$(2,2|4)$的BPS态。一般而言，在扭曲BPS解耦极限中的弦涨落由非相对论西格玛模型描述，这些模型作用于具有自然辛结构的涌现非洛伦兹目标空间。这进一步支持了BPS极限与非洛伦兹几何之间的更广泛联系。我们还引入了D膜的类似极限，探测与弦相同的辛结构。对于AdS$_5\times S^5$，扭曲BPS解耦极限对偶于$\mathcal{N}=4$超对称杨-米尔斯理论的Spin Matrix理论极限，提供了AdS/CFT非微扰区域的可处理且显式的量子力学描述。
英文摘要
BPS decoupling limits of string and M-theory have led to profound insights into gravity and non-perturbative quantum theory, most notably with the AdS/CFT correspondence. In this paper, we initiate the study of twisted BPS decoupling limits, in which the relevant BPS states carry momentum along circle fibers geometrically twisted over a base space. Prime examples are found in type IIB string theory on AdS$_5\times S^5$, for which the twisted limits involve the BPS states of the global symmetry algebra PSU$(2,2|4)$. In general, string fluctuations in a twisted BPS decoupling limit are described by non-relativistic sigma-models on emergent non-Lorentzian target spaces with a natural symplectic structure. This further supports the broader connection between BPS limits and non-Lorentzian geometry. We introduce analogous limits of D-branes as well, probing the same symplectic structure as the string. For AdS$_5\times S^5$, twisted BPS decoupling limits are dual to Spin Matrix theory limits of $\mathcal{N}=4$ supersymmetric Yang-Mills theory, providing tractable and explicit quantum-mechanical descriptions of non-perturbative regimes of AdS/CFT.
Comments17 pages, 1 appendix
