Extensions of AdS_5 x S^5 and the Plane-wave Superalgebras and Their Realization in the Tiny Graviton Matrix Theory

TL;DR

This paper classifies all consistent superalgebra extensions of AdS_5 x S^5 and the plane-wave background, relating them to brane configurations and realizing some in the Tiny Graviton Matrix Theory, advancing understanding of string theory symmetries.

Contribution

It provides a comprehensive classification of superalgebra extensions with brane charges and their explicit realization in the Tiny Graviton Matrix Theory.

Findings

Extended superalgebras include bosonic and fermionic brane charges.

Contraction under the Penrose limit yields the plane-wave superalgebra extensions.

Some extensions are explicitly realized in the Tiny Graviton Matrix Theory.

Abstract

In this paper we consider all consistent extensions of the AdS_5 x S^5 superalgebra, psu(2,2|4), to incorporate brane charges by introducing both bosonic and fermionic (non)central extensions. We study the Inonu-Wigner contraction of the extended psu(2,2|4) under the Penrose limit to obtain the most general consistent extension of the plane-wave superalgebra and compare these extensions with the possible BPS (flat or spherical) brane configurations in the plane-wave background. We give an explicit realization of some of these extensions in terms of the Tiny Graviton Matrix Theory (TGMT)[hep-th/0406214] which is the 0+1 dimensional gauge theory conjectured to describe the DLCQ of strings on the AdS_5 x S^5 and/or the plane-wave background.