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

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dc.creatorLee, Sangmin
dc.creatorPark, Jeong-Hyuck
dc.date2004-04-06
dc.date2004-05-25
dc.date.accessioned2026-07-07T13:14:12Z
dc.date.available2026-07-07T13:14:12Z
dc.descriptionWe 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.
dc.description1+29 pages, no figure; comments and refs added, to appear in JHEP
dc.identifierhttps://arxiv.org/abs/hep-th/0404051
dc.identifierhttp://arxiv.org/abs/hep-th/0404051
dc.identifierJHEP 0406:038,2004
dc.identifierdoi:10.1088/1126-6708/2004/06/038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230137
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleNoncentral extension of the $AdS_{5} \times S^{5}$ superalgebra: supermultiplet of brane charges
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