Universal Kaluza-Klein reductions of type IIB to N = 4 supergravity in five dimensions

By J. Gauntlett, O. Varela. 2010

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We construct explicit consistent Kaluza–Klein reductions of type IIB supergravity on HK4 ×S1, where HK4 is an arbitrary four-dimensional hyper-Kähler manifold, and on SE5, an arbitrary five-dimensional Sasaki–Einstein manifold. In the former case we obtain the bosonic action of D = 5 N = 4 (ungauged) supergravity coupled to two vector multiplets. For the SE5 case we extend a known reduction, which leads to minimal D = 5 N = 2 gauged supergravity, to also include a multiplet of massive fields, containing the breathing mode of the SE5. We show that the resulting D = 5 action is also consistent with N = 4 gauged supergravity coupled to two vector multiplets. This theory has a supersymmetric AdS5 vacuum, which uplifts to the class of supersymmetric AdS5 × SE5 solutions, that spontaneously breaks N = 4 to N = 2, and also a non-supersymmetric AdS5 vacuum which uplifts to a class of solutions first found by Romans.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ebc773dcdcbf0897ea09cfe15a5dc3246f546346

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Citations in the corpus

Wrapped M5-branes, consistent truncations and AdS/CMT (2010, result): “Similar results have also been obtained for reductions of Type IIB on SE5 [20–22] where an interesting enhancement of supersymmetey from N = 2 to N = 4 was observed (see also [23]).”