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

TL;DR

This paper explores $T\bar{T}$-deformations via 2D surface defects in a 4D Chern-Simons framework, linking these deformations to gravity and Chern-Simons theory, and providing new insights into their geometric structure.

Contribution

It introduces a novel approach to $T\bar{T}$-deformations using 2D defects in 4D Chern-Simons theory, connecting them with gravity and topological field theories.

Findings

Establishes a connection between $T\bar{T}$-deformations and 4D Chern-Simons theory.

Shows that $T\bar{T}$-deformations can be engineered on surface defects supporting chiral CFTs.

Suggests a close relationship between the formalism and gravitational interpretations of $T\bar{T}$-deformations.

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.