Fermions and Type IIB Supergravity On Squashed Sasaki-Einstein Manifolds
arXiv:1009.1615 · doi:10.1007/JHEP01(2011)100
Abstract
We discuss the dimensional reduction of fermionic modes in a recently found class of consistent truncations of type IIB supergravity compactified on squashed five-dimensional Sasaki-Einstein manifolds. We derive the lower dimensional equations of motion and effective action, and comment on the supersymmetry of the resulting theory, which is consistent with N=4 gauged supergravity in , coupled to two vector multiplets. We compute fermion masses by linearizing around two vacua of the theory: one that breaks N=4 down to N=2 spontaneously, and a second one which preserves no supersymmetries. The truncations under consideration are noteworthy in that they retain massive modes which are charged under a U(1) subgroup of the -symmetry, a feature that makes them interesting for applications to condensed matter phenomena via gauge/gravity duality. In this light, as an application of our general results we exhibit the coupling of the fermions to the type IIB holographic superconductor, and find a consistent further truncation of the fermion sector that retains a single spin-1/2 mode.
43 pages, 2 figures, PDFLaTeX; v2: added references, typos corrected, minor changes
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