Noncentral extension of the $Ad{S}_5\times S^5$ superalgebra: supermultiplet of brane charges

Abstract

We propose an extension of the su(2,2|4) superalgebra to incorporate the $F1/D1$ string charges in type IIB string theory on the $Ad{S}_5\times S^5$ background, or the electro-magnetic charges in the dual super Yang-Mills theory. With the charges introduced, the superalgebra inevitably undergoes a noncentral extension, as noted recently in [1]. After developing a group theoretical method of obtaining the noncentral extension, we show that the charges form a certain nonunitary representation of the original unextended superalgebra, subject to some constraints. We solve the constraints completely and show that, apart from the su(2,2|4) generators, there exist 899 complex brane charges in the extended algebra. Explicitly we present all the super-commutators among them.

1+29 pages, no figure; comments and refs added, to appear in JHEP

References in corpus (1)

• On non-perturbative extensions of anti-de-Sitter algebras

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