T T ¯ $$ T\overline{T} $$ deformations in curved space from 4D Chern-Simons theory

Abstract

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

Keywords

• Chern-Simons Theories
• Effective Field Theories
• Field Theories in Higher Dimensions