On reduced models for superstrings on AdS_n x S^n

TL;DR

This paper reviews the Pohlmeyer reduction of superstring models on AdS_n x S^n, focusing on the AdS_3 x S^3 case, revealing integrable structures and potential hidden supersymmetry in reduced models.

Contribution

It provides a detailed analysis of the Pohlmeyer reduction for superstrings on AdS_n x S^n, including fermionic extensions and the specific case of AdS_3 x S^3 with RR flux, highlighting new integrable features.

Findings

Reduced bosonic models include complex sine-Gordon and sinh-Gordon theories.

Fermionic parts of the reduced models are explicitly determined.

Discussion of possible hidden 2D supersymmetry in the reduced actions.

Abstract

We review the Pohlmeyer reduction procedure of the superstring sigma model on AdS_n x S^n leading to a gauged WZW model with an integrable potential coupled to 2d fermions. In particular, we consider the case of the Green-Schwarz superstring on AdS_3 x S^3 supported by RR flux. The bosonic part of the reduced model is given by the sum of the complex sine-Gordon Lagrangian and its sinh-Gordon counterpart. We determine the corresponding fermionic part and discuss possible existence of hidden 2d supersymmetry in the reduced action. We also elaborate on some general aspects of the Pohlmeyer reduction applied to the AdS_5 x S^5 superstring.