Lectures on solvable irrelevant deformations of 2d quantum field theory
Lectures on solvable irrelevant deformations of 2d quantum field theory
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发表时间：
2019-04
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通讯作者：
Yunfeng Jiang
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作者：
Yunfeng Jiang
本文是关于二维量子场论的TT变形的教学综述。这是基于作者于2018年12月在ITP-CAS所做的三次讲座。第一讲是TT变形的一般介绍。特别强调了变形的经典拉格朗日量和谱的精确可解性。第二讲重点讨论了TT/JT变形共形场理论的环面分割和和模不变性/协方差。在第三讲中，我们将介绍TT变形的不同观点，包括它与随机几何、Jackiw-Teitelbolm重力和全息术的关系。这些讲座是为想要第一次了解这个领域的非专家准备的。[X] iv: 199013 37 6v 1 [p] 3 0 A pr 2 01 9
This is a pedagogical review on TT deformation of two dimensional quantum field theories. It is based on three lectures which the author gave at ITP-CAS in December 2018. The first lecture is a general introduction to TT deformation. Special emphasises are put on the deformed classical Lagrangian and the exact solvability of the spectrum. The second lecture focuses on the torus partition sum of the TT/JT deformed conformal field theories and modular invariance/covariance. In the third lecture, different perspectives of TT deformation are presented, including its relation to random geometry, Jackiw-Teitelbolm gravity and holography. These lectures are intended for non-experts who want to learn about this field for the first time. ar X iv :1 90 4. 13 37 6v 1 [ he pth ] 3 0 A pr 2 01 9