NSR String in Ads_3 Backgrounds: Nonlocal Charges

TL;DR

This paper investigates the NSR superstring in an AdS_3 x S_3 x R_4 background, demonstrating the existence of classical nonlocal conserved currents and proposing related Ward identities within a superspace sigma model framework.

Contribution

It introduces the construction of nonlocal conserved currents for the NSR superstring in AdS_3 x S_3 x R_4 and formulates Ward identities based on these currents.

Findings

Existence of classical nonlocal conserved currents in the superspace formulation.

Derivation of Ward identities from nonlocal conserved currents.

Representation of the action as sigma models with Wess-Zumino terms.

Abstract

We consider NSR superstring in AdS_3 X S_3 X R_4 background. The action is expressed in terms of the variables on the group manifolds SL(2,R) and SU(2) as 1+1 dimensional sigma models with Wess-Zumino terms, associated with AdS_3 and S_3 respectively. R_4 is flat Euclidean space. We show the existence of classical nonlocal conserved currents in the superspace formulation for the nonlinear sigma model with the WZ term in the context of NSR string. We propose Ward identities utilizing the existence of the nonlocal conserved currents.