Communications in Theoretical Physics ›› 2021, Vol. 73 ›› Issue (5): 057201. doi: 10.1088/1572-9494/abe4c9

• Topical Reviews: Particle Physics and Quantum Field Theory • Previous Articles     Next Articles

A pedagogical review on solvable irrelevant deformations of 2D quantum field theory

Yunfeng Jiang()   

  1. CERN Theory Department, Geneva, Switzerland
  • Received: 2020-09-24 Revised: 2021-02-09 Accepted: 2021-02-10 Published: 2021-05-01
  • Contact: Yunfeng Jiang E-mail:jinagyf2008@gmail.com

Abstract:

This is a pedagogical review on ${T}\overline{{T}}$ deformation of two dimensional quantum field theories. It is based on three lectures which the author gave at ITP-CAS in December 2018. This review consists of four parts. The first part is a general introduction to ${T}\overline{{T}}$deformation. Special emphasises are put on the deformed classical Lagrangian and the exact solvability of the spectrum. The second part focuses on the torus partition sum of the ${T}\overline{{T}}$/${J}\overline{{T}}$ deformed conformal field theories and modular invariance/covariance. In the third part, different perspectives of ${T}\overline{{T}}$ deformation are presented, including its relation to random geometry, 2D topological gravity and holography. We summarize more recent developments until January 2021 in the last part.

Key words: irrelevant deformation, integrability, conformal field theory, 2D gravity, holographic duality