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

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

2004-04-06

arxiv.org/abs/hep-th/0404051v2

JHEP 0406:038,2004

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1126-6708/2004/06/038

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 $AdS_{5} \times S^{5}$ 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.

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