Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-08-08
JHEP 1102:068,2011
Physics
High Energy Physics
High Energy Physics - Theory
35 pages, PDFLaTeX; v2: added references, corrected typos, minor changes
Scientific paper
10.1007/JHEP02(2011)068
We discuss the dimensional reduction of fermionic modes in a recently found class of consistent truncations of D=11 supergravity compactified on squashed seven-dimensional Sasaki-Einstein manifolds. Such reductions are of interest, for example, in that they have $(2+1)$-dimensional holographic duals, and the fermionic content and their interactions with charged scalars are an important aspect of their applications. We derive the lower-dimensional equations of motion for the fermions and exhibit their couplings to the various bosonic modes present in the truncations under consideration, which most notably include charged scalar and form fields. We demonstrate that our results are consistent with the expected supersymmetric structure of the lower dimensional theory, and apply them to a specific example which is relevant to the study of $(2+1)$-dimensional holographic superconductors.
Bah Ibrahima
Faraggi Alberto
Jottar Juan I.
Leigh Robert G.
Pando Zayas Leopoldo A.
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