Symmetric Subgroups of Gauged Supergravities and AdS String Theory Vertex Operators

TL;DR

This paper explores how gauge symmetry representations in gauged supergravities related to AdS/CFT can be derived from symmetric subgroups via string theory vertex operators, offering insights into the symmetry structure of AdS string models.

Contribution

It introduces a symmetry-based mechanism for deriving gauge representations in gauged supergravities from string theory vertex operators, linking to the structure of AdS/CFT correspondence.

Findings

Symmetry mechanism parallels Monster group and affine algebra constructions.

Provides a potential guide for perturbative IIB string theory on AdSxS.

Highlights the role of symmetric subgroups in gauge representation derivation.

Abstract

We show how the gauge symmetry representations of the massless particle content of gauged supergravities that arise in the AdS/CFT correspondences can be derived from symmetric subgroups to be carried by string theory vertex operators in these compactified models, although an explicit vertex operator construction of IIB string and M theories on AdSxS remains elusive. Our symmetry mechanism parallels the construction of representations of the Monster group and affine algebras in terms of twisted conformal field theories, and may serve as a guide to the perturbative description of the IIB string on AdSxS.