Superstring Theory on AdS_3 x G/H and Boundary N=3 Superconformal Symmetry

TL;DR

This paper constructs superstring theories on specific AdS_3 backgrounds with coset spaces, demonstrating N=3 superconformal symmetry in the dual CFTs and providing explicit models and conditions for such constructions.

Contribution

It presents explicit superstring constructions on AdS_3 x G/H with N=3 superconformal symmetry and offers criteria for similar models, advancing the understanding of AdS/CFT correspondence.

Findings

Explicit models for AdS_3 x SU(3)/U(1) and AdS_3 x SO(5)/SO(3) with N=3 symmetry

Conditions for CFT backgrounds to realize similar superstring constructions

Discussion of geometric interpretations of the superstring backgrounds

Abstract

Superstrings propagating on backgrounds of the form AdS_3 x G/H are studied using the coset CFT approach. We focus on seven dimensional cosets which have a semiclassical limit, and which give rise to N=3 superconformal symmetry in the dual CFT. This is realized for the two cases AdS_3 x SU(3)/U(1) and AdS_3 x SO(5)/SO(3), for which we present an explicit construction. We also provide sufficient conditions on a CFT background to enable a similar construction, and comment on the geometrical interpretation of our results.