2pf in single-trace $T\bar T$ holography

TL;DR

This paper extends the computation of the two-point function in single-trace $Tar T$ holography to include non-zero winding sectors, confirming consistency with previous TsT/$Tar T$ results for long strings.

Contribution

It generalizes the existing 2pf calculation in single-trace $Tar T$ holography to non-zero winding sectors, aligning with TsT/$Tar T$ approach results.

Findings

Two-point function computed for non-zero winding sectors.

Results match TsT/$Tar T$ approach for long strings.

Provides consistency check for holographic $Tar T$ deformations.

Abstract

The 2pf in single-trace $T\bar T$ holography was computed and analyzed for operators in the $w=0$ sector in~\cite{Asrat:2017tzd}. Here we present its immediate generalization to non-zero winding $w$. For long strings, the result is identical to the one obtained within the TsT/$T\bar T$ approach in~\cite{Cui:2023jrb} (up to a factor of the reflection coefficient).