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arXiv · 1003.5374

Consistent massive truncations of IIB supergravity on Sasaki-Einstein manifolds

James T. Liu·Phillip Szepietowski·Zhichen Zhao
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Abstract

Recent work on holographic superconductivity and gravitational duals of systems with non-relativistic conformal symmetry have made use of consistent truncations of D=10 and D=11 supergravity retaining some massive modes in the Kaluza-Klein tower. In this paper we focus on reductions of IIB supergravity to five dimensions on a Sasaki-Einstein manifold, and extend these previous truncations to encompass the entire bosonic sector of gauged D=5, N=2 supergravity coupled to massive multiplets up to the second Kaluza-Klein level. We conjecture that a necessary condition for the consistency of massive truncations is to only retain the lowest modes in the massive trajectories of the Kaluza-Klein mode decomposition of the original fields. This is an extension of the well-known result that consistent truncations may be obtained by restricting to the singlet sector of the internal symmetry group.

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James T. Liu, Phillip Szepietowski, Zhichen Zhao. 2010-04-23. Consistent massive truncations of IIB supergravity on Sasaki-Einstein manifolds. https://doi.org/10.1103/physrevd.81.124028

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