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

Abstract

In this paper, we shed new light onto T 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 T -deformations, gravity and Chern-Simons theory and suggests that the formalism developed in this paper and the gravity picture of T T -deformations should be closely related.

On Current-Squared Flows and ModMax Theories

“…Another interesting, but very different, connection between T T and non-Abelian gauge theory involves a 4d version of Chern-Simons as in[91].…”