Supersymmetric solutions for non-relativistic holography

Abstract

We construct families of supersymmetric solutions of type IIB and D=11 supergravity that are invariant under the non-relativistic conformal algebra for various values of dynamical exponent z greater than or equal to 4 and 3, respectively. The solutions are based on five- and seven-dimensional Sasaki-Einstein manifolds and generalise the known solutions with dynamical exponent z=4 for the type IIB case and z=3 for the D=11 case, respectively.

14 pages. Comment about skew-whiffed solutions added

References in corpus (8)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• On the spectrum of nonrelativistic AdS/CFT
• Obstructions to the Existence of Sasaki-Einstein Metrics
• Families of IIB duals for nonrelativistic CFTs
• Conformal non-relativistic hydrodynamics from gravity
• Black holes and non-relativistic quantum systems
• Remark on quantum mechanics with conformal Galilean symmetry

Cited by in corpus (11)

• Galilean Conformal Algebras and AdS/CFT
• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• Correlation Functions in Non-Relativistic Holography
• On AdS/CFT of Galilean Conformal Field Theories
• Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra
• NR $CF{T}_3$ duals in M-theory
• Nonrelativistic Superconformal M2-Brane Theory
• Solutions of type IIB and D=11 supergravity with Schrodinger(z) symmetry
• Schrodinger invariant solutions of type IIB with enhanced supersymmetry
• Branes at Quantum Criticality
• Non-relativistic metrics with extremal limits