Gauged supergravities from spherical reductions
Sep, 2001104 pages
Supervisor:
- Christopher N. Pope
e-Print:
- hep-th/0109092 [hep-th]
Report number:
- UMI-30-33892
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Abstract:
This dissertation is devoted to deriving the bosonic sectors of certain gauged supergravities in various dimensions from reducing eleven-dimensional supergravity, type IIA and type IIB supergravities in ten dimensions on certain spherical spaces. Explicit non-linear Kaluza-Klein ans\"atze for reductions of eleven-dimensional supergravity and of type IIA and type IIB supergravities on and are presented. Knowing explicit non-linear ans\"atze is proven to be very useful in finding super Yang-Mills operators of gauge theories via AdS/CFT correspondence. We present a sample calculation which allows us to find a super Yang-Mills operator using a non-linear ansatz. Knowing non-linear ans\"atze is also useful for finding supergravity duals to certain twisted supersymmetric gauge theories. These supergravity solutions are branes wrapped on certain supersymmetric cycles. Some solutions, which are dual to gauge theories in three and five dimensions, are presented.Note:
- Ph.D. Thesis (Advisor: Christopher N. Pope)
- thesis
- supergravity
- dimension: 11
- dimension: 10
- dimensional reduction
- Kaluza-Klein model: nonlinear
- gauge field theory: Yang-Mills
- space-time: anti-de Sitter
- field theory: conformal
- bibliography
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