Fermions and type IIB supergravity on squashed Sasaki-Einstein manifolds

Ibrahima Bah, Alberto Faraggi, Juan I. Jottar, Robert G. Leigh

Resultado de la investigación: Article

4 Citas (Scopus)

Resumen

We discuss the dimensional reduction of fermionic modes in a recently found class of consistent truncations of type IIB supergravity compactified on squashed fivedimensional 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 d = 5, coupled to two vector multiplets. We compute fermion masses by linearizing around two AdS 5 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 the U(1) R-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.

Idioma originalEnglish
Número de artículo100
PublicaciónJournal of High Energy Physics
Volumen2011
N.º1
DOI
EstadoPublished - 1 ene 2011

Huella dactilar

supergravity
fermions
supersymmetry
approximation
equations of motion
sectors
fine structure
gravitation
symmetry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Citar esto

Bah, Ibrahima ; Faraggi, Alberto ; Jottar, Juan I. ; Leigh, Robert G. / Fermions and type IIB supergravity on squashed Sasaki-Einstein manifolds. En: Journal of High Energy Physics. 2011 ; Vol. 2011, N.º 1.
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Fermions and type IIB supergravity on squashed Sasaki-Einstein manifolds. / Bah, Ibrahima; Faraggi, Alberto; Jottar, Juan I.; Leigh, Robert G.

En: Journal of High Energy Physics, Vol. 2011, N.º 1, 100, 01.01.2011.

Resultado de la investigación: Article

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AB - We discuss the dimensional reduction of fermionic modes in a recently found class of consistent truncations of type IIB supergravity compactified on squashed fivedimensional 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 d = 5, coupled to two vector multiplets. We compute fermion masses by linearizing around two AdS 5 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 the U(1) R-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.

KW - AdS-CFT correspondence

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