$T\bar{T}$ Deformations in Curved Space from 4D Chern-Simons Theory

Abstract

In this paper, we shed new light onto $T\bar{T}$-deformations by engineering them on 2D surface defects, supporting chiral and antichiral CFT's, in a 4D Chern-Simons bulk. This approach is motivated by various connections between $T\bar{T}$-deformations, gravity and Chern-Simons theory and suggests that the formalism developed in this paper and the gravity picture of $T\bar{T}$-deformations should be closely related.

18 pages, 4 figures; references added

References in corpus (4)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• $T\bar{T}$ Deformations, Massive Gravity and Non-Critical Strings
• Deformed $\sigma$-models, Ricci flow and Toda field theories

Cited by in corpus (4)

• Duality-Invariant Non-linear Electrodynamics and Stress Tensor Flows
• $T\bar{T}$ in JT Gravity and BF Gauge Theory
• Infinite Family of Integrable Sigma Models Using Auxiliary Fields
• $T\bar{T}$ and root-$T\bar{T}$ deformations in four-dimensional Chern-Simons theory