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arXiv 2202.12698hep-thgr-qc
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非相对论弦的性质

Aspects of Nonrelativistic Strings

Gerben Oling, Ziqi Yan

摘要:

本文综述了非相对论性弦论的最新进展。在平坦时空中,该理论由二维相对论性量子场论定义,其非相对论性全局对称性作用于世界片场。这个理论是相对论性弦论自成一体的一角。它有一个伽利略色散关系的弦谱,和一个非相对论对称的时空S矩阵。这个弦论也给出了一个酉的和紫外线的完整框架,连接了弦论的不同角落,包括矩阵弦论和非对易开弦。近年来,人们对背景场中非相对论性弦论中的非洛伦兹几何和量子场论的兴趣又重新抬头。在这篇综述中,我们首先介绍平坦时空中非相对论性弦论的基础。然后,我们给出了最近的进展,包括适当的目标空间几何非相对论弦耦合的概述。这就是所谓的(扭转)弦牛顿-嘉当几何,它既不是洛伦兹几何,也不是黎曼几何。我们还对非相对论开弦和D膜上的有效场论进行了综述。最后,我们讨论了应用程序的非相对论性字符串的AdS/CFT对应的背景下的去耦限制。

英文摘要:

We review recent developments on nonrelativistic string theory. In flat spacetime, the theory is defined by a two-dimensional relativistic quantum field theory with nonrelativistic global symmetries acting on the worldsheet fields. This theory arises as a self-contained corner of relativistic string theory. It has a string spectrum with a Galilean dispersion relation, and a spacetime S-matrix with nonrelativistic symmetry. This string theory also gives a unitary and ultraviolet complete framework that connects different corners of string theory, including matrix string theory and noncommutative open strings. In recent years, there has been a resurgence of interest in the non-Lorentzian geometries and quantum field theories that arise from nonrelativistic string theory in background fields. In this review, we start with an introduction to the foundations of nonrelativistic string theory in flat spacetime. We then give an overview of recent progress, including the appropriate target-space geometry that nonrelativistic strings couple to. This is known as (torsional) string Newton-Cartan geometry, which is neither Lorentzian nor Riemannian. We also give a review of nonrelativistic open strings and effective field theories living on D-branes. Finally, we discuss applications of nonrelativistic strings to decoupling limits in the context of the AdS/CFT correspondence.

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