Hybrid Superstring on AdS_3 and Space-Time Superconformal Symmetry

TL;DR

This paper develops a manifestly supersymmetric hybrid formalism for superstrings on AdS3 x S1, analyzing physical states, spectra, and space-time superconformal symmetry, revealing new insights into supermultiplet structures.

Contribution

It introduces a hybrid formalism for superstrings on AdS3 x S1, providing explicit constructions of supersymmetry generators and analyzing physical spectra in a manifestly supersymmetric framework.

Findings

Identified space-time chiral primaries as supermultiplets.

Constructed generators of boundary N=2 superconformal symmetry.

Analyzed on-shell physical structure of massive and massless supermultiplets.

Abstract

Using a hybrid formalism, superstrings on AdS(3) x S(1) are studied in a manifestly supersymmetric manner. The world-sheet fields in this description including superspace coordinates are obtained through a field redefinition from the corresponding ones in the RNS formalism. The physical states are defined with the BRST cohomology as an N=4 topological string theory. The physical spectra for some lower mass levels are investigated. We identify two series of the space-time chiral primaries which have already been obtained from the analysis in the RNS formalism. We find that they are described by the chiral and the vector supermultiplets, but the on-shell physical structure of the latter depends on whether it is massive or massless. The spece-time supersymmetry on this background is extended to the boundary N=2 uperconformal symmetry. We explicitly construct its generators and study how they act on specific supermultiplets.