http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Sphere and braneworld Kaluza-Klein reductions
We obtain the complete non-linear Kaluza-Klein S⁵ reduction ansatz for SL(2,[]) singlet sector of the type IIB supergravity 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,[])/SO(6). This provides a consistent embedding of this subsector of N=8, D=5 gauged supergravity in type IIB in D=10. We also construct a reduction of type IIA supergravity on S³, leading to maximal gauged supergravity in seven dimensions with the full set of massless SO(4) Yang-Mills fields. As an application to AdS/CFT correspondence, we work out the super Yang-Mills operators that couple to the scalars by expanding the Dirac-Born-Infeld action around an AdS₅ x S⁵ background with the metric fluctuations. The resulting operators agree with those based on a superconformal symmetry argument. We also obtain new results for consistent braneworld Kaluza-Klein reductions, showing how we can derive four-dimensional N=2 gauged supergravity ``localised on the AdS₄ brane'' as an exact embedding in five-dimensional N=4 gauged supergravity. Similarly, we obtain five-dimensional N=2 gauged supergravity localised on an AdS₅ brane as a consistent Kaluza-Klein reduction from six-dimensional N=4 gauged supergravity. These embeddings can be lifted to type IIB and massive type IIA supergravity respectively. The usual T-duality that relates the type IIA and IIB theories compactified on circles of inversely-related radii does not operate if the dimensional reduction is performed on the time direction rather than a spatial one. This observation led to the recent proposal that there might exist two further ten-dimensional theories, namely type IIA* and type IIB*, related to type IIB and type IIA respectively by a timelike dimensional reduction. We explore such dimensional reductions in cases where time is the coordinate of a non-trivial U(1) fibre bundle.
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Includes bibliographical references (leaves 93-102).