Classical Spectral Curve of the AdS_5 x S^5 Lambda Superstring

TL;DR

This paper constructs the classical spectral curve for the AdS_5 x S^5 lambda superstring, revealing its relation to a regularized non-abelian T dual and identifying its semi-classical limit as an XXZ spin chain Bethe ansatz.

Contribution

It provides the explicit form of the spectral curve for the lambda superstring and links it to a Bethe ansatz for an XXZ spin chain, extending the integrability framework.

Findings

Spectral curve constructed for the lambda superstring.

Identified as semi-classical limit of Bethe ansatz equations.

Connected the curve to an XXZ spin chain model.

Abstract

The classical spectral curve for the worldsheet theory of the AdS_5 x S^5 lambda superstring is constructed. The lambda string is interpreted as a regularized, non-abelian T dual of the AdS_5 x S^5 superstring with respect to full PSU(2,2|4) symmetry. The form of the curve is identified as the semi-classical limit of a set of Bethe ansatz equations for an XXZ type spin chain for the supergroup PSU(2,2|4) in contrast to the string in AdS_5 x S^5 which is XXX type.