AdS Superalgebras with Brane Charges

TL;DR

This paper explores the extension of AdS superalgebras with brane charges, analyzing their structure, extensions, and BPS conditions across different dimensions with implications for supersymmetric theories.

Contribution

It introduces the inclusion of brane charges into AdS superalgebras, detailing their algebraic structure, extensions, and BPS conditions in various dimensions.

Findings

Maximal superalgebra extensions include brane charges.

Extended superalgebras contain groups like U(2N,2N) and U(2N,2N/1).

BPS conditions are analyzed with brane charges present.

Abstract

We consider the inclusion of brane charges in AdS_5 superalgebras that contain the maximal central extension of the super-Poincar\'e algebra on the boundary of AdS_5. For theories with N supersymmetries on the boundary, the maximal extension is OSp(1/8N,R), which contains the group $Sp(8N,R)\supset U(2N,2N) \supset SU(2,2)\times U(N)$ as extension of the conformal group. An ``intermediate'' extension to U(2N,2N/1) is also discussed, as well as the inclusion of brane charges in AdS_7 and AdS_4 superalgebras. BPS conditions in the presence of brane charges are studied in some details.