Fermions and D=11 Supergravity On Squashed Sasaki-Einstein Manifolds

Abstract

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.

35 pages, PDFLaTeX; v2: added references, corrected typos, minor changes

References in corpus (38)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Building an AdS/CFT superconductor
• Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities
• Holographic Superconductors
• Breaking an Abelian gauge symmetry near a black hole horizon
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Towards the large N limit of pure N=1 super Yang Mills
• Non-Fermi liquids from holography
• N=2 Supergravity and N=2 Super Yang-Mills Theory on General Scalar Manifolds: Symplectic Covariance, Gaugings and the Momentum Map
• Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory
• Comments on string theory backgrounds with non-relativistic conformal symmetry
• Holographic superconductivity in M-Theory
• Sasaki-Einstein Manifolds and Volume Minimisation
• Superconductors from Superstrings
• Heating up Galilean holography
• Hot Spacetimes for Cold Atoms
• Consistent Kaluza-Klein Sphere Reductions
• Consistency of the $Ad{S}_7\times S_4$ reduction and the origin of self-duality in odd dimensions
• Consistent nonlinear KK reduction of 11d supergravity on $Ad{S}_7\times S_4$ and self-duality in odd dimensions
• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• Consistent Kaluza-Klein Reductions for General Supersymmetric AdS Solutions
• Quantum Criticality and Holographic Superconductors in M-theory
• Universal Kaluza-Klein reductions of type IIB to N=4 supergravity in five dimensions
• Bohm and Einstein-Sasaki Metrics, Black Holes and Cosmological Event Horizons
• Gauged supergravity from type IIB string theory on Y^{p,q} manifolds
• Type IIB supergravity on squashed Sasaki-Einstein manifolds
• Instanton Cosmology and Domain Walls from M-theory and String Theory
• Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points
• Photoemission "experiments" on holographic superconductors
• Fermionic Operator Mixing in Holographic p-wave Superfluids
• A consistent truncation of IIB supergravity on manifolds admitting a Sasaki-Einstein structure
• Normalizable fermion modes in a holographic superconductor
• Fermion correlators in non-abelian holographic superconductors
• Peak-Dip-Hump from Holographic Superconductivity
• Breathing mode compactifications and supersymmetry of the brane-world

Cited by in corpus (23)

• Non-Abelian T-duality and consistent truncations in type-II supergravity
• Dynamical Gap and Cuprate-like Physics from Holography
• Consistent truncation of d = 11 supergravity on AdS_4 x S^7
• An alternative IIB embedding of F(4) gauged supergravity
• Tri-Sasakian consistent reduction
• Consistent $\mathcal{N}=8$ truncation of massive IIA on $S^6$
• Holographic fermionic system with dipole coupling on Q-lattice
• 3D gauged supergravity from wrapped M5-branes with AdS/CMT applications
• Spectral function of the supersymmetry current
• Testing the non-linear flux ansatz for maximal supergravity
• Dipole Coupling Effect of Holographic Fermion in the Background of Charged Gauss-Bonnet AdS Black Hole
• Holographic fermions in charged dilaton black branes
• Dynamic gap from holographic fermions in charged dilaton black branes
• Consistent reductions from D=11 beyond Sasaki-Einstein
• Supersymmetry of consistent massive truncations of IIB supergravity
• Duality between zeroes and poles in holographic systems with massless fermions and a dipole coupling
• On N = 2 Truncations of IIB on T^{1,1}
• Consistent truncations in higher derivative supergravity
• Holographic Constraints on a Vector Boson
• All supersymmetric solutions of 3D U(1)${}^3$ gauged supergravity
• Small Treatise on Spin-3/2 Fields and their Dual Spectral Functions
• Nodal-antinodal dichotomy from anisotropic quantum critical continua in holographic models
• Fermion Dipole Moment and Holography