Spacetime supersymmetry in $AdS_3$ backgrounds

TL;DR

This paper constructs specific string backgrounds with AdS_3 geometry that exhibit N=2 spacetime superconformal symmetry, linking worldsheet theories with target space geometry and enabling spectrum calculations.

Contribution

It introduces new AdS_3 backgrounds with N=2 superconformal symmetry and describes their geometric and worldsheet conformal field theory structure.

Findings

X is a U(1) fibration over an N=2 CFT target

The backgrounds admit free field realizations

Potential for full string spectrum computation

Abstract

We construct string target spacetimes with AdS_3 x X geometry, which have an N=2 spacetime superconformal algebra. X is found to be a U(1) fibration over a manifold which is a target for an N=2 worldsheet conformal field theory. We emphasize theories with free field realizations where in principle it is possible to compute the full one-particle string spectrum.