AdS_3/CFT_2 Correspondence and Space-Time N=3 Superconformal Algebra

TL;DR

This paper constructs space-time N=3 superconformal theories from a specific Wess-Zumino-Witten model on an AdS_3 background, revealing new asymmetric models with enhanced gauge symmetries and brane configurations.

Contribution

It introduces a novel asymmetric N=3 superconformal model via projections in a WZW framework, linking string theory and M-theory brane configurations.

Findings

Constructed a new asymmetric (N, N̄)=(3,1) superconformal model.

Identified an extra affine SU(2) gauge symmetry in the target space.

Realized the model through intersecting M5-M2 branes with Z_2 symmetry.

Abstract

We study a Wess-Zumino-Witten model with target space AdS_3 x (S^3 x S^3 x S^1)/Z_2. This allows us to construct space-time N=3 superconformal theories. By combining left-, and right-moving parts through a GSO and a Z_2 projections, a new asymmetric (N,\bar{N})=(3,1) model is obtained. It has an extra gauge (affine) SU(2) symmetry in the target space of the type IIA string. An associated configuration is realized as slantwise intersecting M5-M2 branes with a Z_2-fixed plane in the M-theory viewpoint.