Strings on NS-NS Backgrounds as Integrable Deformations

TL;DR

This paper investigates the integrability of superstring theories on an AdS3xS3xT4 background with NS-NS flux, proposing a specific S matrix structure that aligns with known spectra and perturbative results, indicating a novel integrable deformation.

Contribution

It introduces a CDD factor-based S matrix for superstrings on NS-NS backgrounds, connecting the spectrum with integrable deformation concepts similar to T-Tbar operators.

Findings

Reproduces the spectrum of non-protected states from WZW models

Matches the perturbative tree-level S matrix calculations

Suggests the model as an integrable deformation of a free theory

Abstract

We consider the worldsheet S matrix of superstrings on an AdS3xS3xT4 NS-NS background in uniform light-cone gauge. We argue that scattering is given by a CDD factor that is non-trivial only between opposite-chirality particles, yielding a spin-chain-like Bethe Ansatz. Our proposal reproduces the spectrum of non-protected states computed from the Wess-Zumino-Witten description and the perturbative tree-level S matrix. This suggests that the model is an integrable deformation of a free theory similar to those arising from the T-Tbar composite operator.