4.4 Article

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

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP06(2010)081

Keywords

Flux compactifications; AdS-CFT Correspondence; Supergravity Models

Funding

  1. EPSRC
  2. Royal Society
  3. Alexander von Humboldt postdoctoral fellowship
  4. Spanish Government [FIS2008-01980]
  5. EPSRC [EP/D072077/1] Funding Source: UKRI
  6. STFC [ST/G000743/1] Funding Source: UKRI
  7. Engineering and Physical Sciences Research Council [EP/D072077/1] Funding Source: researchfish
  8. Science and Technology Facilities Council [ST/G000743/1] Funding Source: researchfish

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We construct explicit consistent Kaluza-Klein reductions of type IIB supergravity on HK4 x S-1, where HK4 is an arbitrary four-dimensional hyper-Kahler 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 AdS(5) vacuum, which uplifts to the class of supersymmetric AdS(5) x SE5 solutions, that spontaneously breaks N = 4 to N = 2, and also a non-supersymmetric AdS(5) vacuum which uplifts to a class of solutions first found by Romans.

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