AdS Superalgebras with Brane Charges

Abstract

We consider the inclusion of brane charges in AdS5 superalgebras that contain the maximal central extension of the super-Poincar\'e algebra on the boundary of AdS5. For theories with N supersymmetries on the boundary, the maximal extension is OSp(1/8N,R), which contains the group Sp(8N,R)⊃ U(2N,2N) ⊃ SU(2,2)× 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 AdS7 and AdS4 superalgebras. BPS conditions in the presence of brane charges are studied in some details.

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