B-field in AdS(3)/CFT(2) Correspondence and Integrability

TL;DR

This paper constructs a topological Wess-Zumino term for supercoset sigma-models on AdS(3) backgrounds, demonstrating that integrability, kappa-symmetry, and conformal invariance are interconnected under specific conditions.

Contribution

It introduces a topological Wess-Zumino term for supercoset sigma-models on AdS(3) backgrounds and shows the equivalence of integrability, kappa-symmetry, and conformal invariance.

Findings

Sigma-model remains integrable with the Wess-Zumino term for certain parameters.

Integrability, kappa-symmetry, and conformal invariance conditions are equivalent.

The constructed model extends understanding of AdS(3)/CFT(2) correspondence.

Abstract

We construct topological Wess-Zumino term for supercoset sigma-models on various AdS(3) backgrounds. For appropriately chosen set of parameters, the sigma-model remains integrable when the Wess-Zumino term is added to the action. Moreover, the conditions for integrability, kappa-symmetry and conformal invariance are equivalent to each other.