$\mathbf{T}\overline{\mathbf{T}}$ correlators from tensionless strings

Abstract

Motivated by earlier approaches, we develop a worldsheet framework for computing correlation functions in the single trace $T\overline{T}$-deformed tensionless AdS${}_3$/CFT${}_2$ duality. By describing the deformed bulk theory as a Berkovits-Vafa $\mathcal{N}=4$ topological string, we obtain a consistent definition of physical states and correlation functions, yielding a tractable setup for testing aspects of holography beyond AdS/CFT. We construct deformed physical vertex operators and compute their tree-level two-point functions exactly. We discuss the relation of our results to previous proposals for $T\overline{T}$-deformed two-point functions obtained from alternative worldsheet approaches, JT gravity, and perturbative field theory computations.

46 pages