Integrable spin chain for stringy Wess-Zumino-Witten models

TL;DR

This paper demonstrates the integrability of the Wess-Zumino-Witten model for strings on AdS3×S3×T4, constructs a corresponding spin chain, and confirms the spectrum matches WZW predictions.

Contribution

It introduces an integrable spin chain model for the WZW string theory and analytically shows the cancellation of wrapping corrections, linking it to the WZW framework.

Findings

All wrapping corrections cancel in the model.

The spin-chain spectrum matches WZW predictions.

The theory admits a natural spin-chain interpretation.

Abstract

Building on arXiv:1804.01998 we investigate the integrable structure of the Wess-Zumino-Witten (WZW) model describing closed strings on $AdS_3\times S^3\times T^4$. Using the recently-proposed integrable S matrix we show analytically that all wrapping corrections cancel and that the theory has a natural spin-chain interpretation. We construct the integrable spin chain and discuss its relation with the WZW description. Finally we compute the spin-chain spectrum in closed form and show that it matches the WZW prediction on the nose.