Consistent SO(6) Reduction Of Type IIB Supergravity on S^5

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dc.creatorCvetic, M.
dc.creatorLu, H.
dc.creatorPope, C. N.
dc.creatorSadrzadeh, A.
dc.creatorTran, T. A.
dc.date2000-03-13
dc.date2000-03-18
dc.date.accessioned2026-07-07T11:09:55Z
dc.date.available2026-07-07T11:09:55Z
dc.descriptionType IIB supergravity can be consistently truncated to the metric and the self-dual 5-form. We obtain the complete non-linear Kaluza-Klein S^5 reduction Ansatz for this theory, giving rise to gravity coupled to the fifteen Yang-Mills gauge fields of SO(6) and the twenty scalars of the coset SL(6,R)/SO(6). This provides a consistent embedding of this subsector of N=8, D=5 gauged supergravity in type IIB in D=10. We demonstrate that the self-duality of the 5-form plays a crucial role in the consistency of the reduction. We also discuss certain necessary conditions for a theory of gravity and an antisymmetric tensor in an arbitrary dimension D to admit a consistent sphere reduction, keeping all the massless fields. We find that it is only possible for D=11, with a 4-form field, and D=10, with a 5-form. Furthermore, in D=11 the full bosonic structure of eleven-dimensional supergravity is required, while in D=10 the 5-form must be self-dual. It is remarkable that just from the consistency requirement alone one would discover D=11 and type IIB supergravities, and that D=11 is an upper bound on the dimension.
dc.descriptionLatex, 14 pages, typos corrected and comments added
dc.identifierhttps://arxiv.org/abs/hep-th/0003103
dc.identifierhttp://arxiv.org/abs/hep-th/0003103
dc.identifierNucl.Phys.B586:275-286,2000
dc.identifierdoi:10.1016/S0550-3213(00)00372-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190636
dc.subjectHigh Energy Physics - Theory
dc.titleConsistent SO(6) Reduction Of Type IIB Supergravity on S^5
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