Supersymmetric IIB Solutions with Schrödinger Symmetry

Abstract

We find a class of non-relativistic supersymmetric solutions of IIB supergravity with non-trivial B-field that have dynamical exponent n=2 and are invariant under the Schrodinger group. For a general Sasaki-Einstein internal manifold with U(1)^3 isometry, the solutions have two real supercharges. When the internal manifold is S^5, the number of supercharges can be four. We also find a large class of non-relativistic scale invariant type IIB solutions with dynamical exponents different from two. The explicit solutions and the values of the dynamical exponents are determined by vector eigenfunctions and eigenvalues of the Laplacian on an Einstein manifold.

28 pages, LaTeX

References in corpus (13)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Lectures on Holographic Superfluidity and Superconductivity
• Non-relativistic holography
• Nonrelativistic conformal field theories
• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• The geometry of Schrödinger symmetry in non-relativistic CFT
• Families of IIB duals for nonrelativistic CFTs
• Conformal non-relativistic hydrodynamics from gravity
• Supersymmetric solutions for non-relativistic holography
• NR $CF{T}_3$ duals in M-theory
• Non-relativistic Branes
• Non-relativistic supersymmetric Dp branes

Cited by in corpus (50)

• Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent
• Holographic stress tensor for non-relativistic theories
• Lifshitz Solutions of D=10 and D=11 supergravity
• Lifshitz spacetimes from AdS null and cosmological solutions
• Constructing Lifshitz solutions from AdS
• Holography for Schrodinger backgrounds
• Kerr/CFT, dipole theories and nonrelativistic CFTs
• Thermodynamics of black branes in asymptotically Lifshitz spacetimes
• Thermal behavior of charged dilatonic black branes in AdS and UV completions of Lifshitz-like geometries
• Lifshitz/Schrödinger D-p-branes and dynamical exponents
• Non-Relativistic Solutions of N=2 Gauged Supergravity
• Schrödinger geometries arising from Yang-Baxter deformations
• Hyperscaling violation from supergravity
• Special limits and non-relativistic solutions
• Schrödinger Holography with and without Hyperscaling Violation
• Intertwining Operator Realization of Non-Relativistic Holography
• Schrodinger invariant solutions of type IIB with enhanced supersymmetry
• Integrability in dipole-deformed N=4 super Yang-Mills
• Lifshitz-like black brane thermodynamics in higher dimensions
• On classical Yang-Baxter based deformations of the AdS_5 x S^5 superstring
• The particle number in Galilean holography
• Supersymmetric non-relativistic geometries in M-theory
• Non-relativistic metrics with extremal limits
• Holography for chiral scale-invariant models
• Schrodinger invariant solutions of M-theory with Enhanced Supersymmetry
• Universality and exactness of Schrodinger geometries in string and M-theory
• Asymptotic symmetries of Schrödinger spacetimes
• Non-relativistic M-Theory solutions based on Kaehler-Einstein spaces
• Holographic Flavor Transport in Schroedinger Spacetime
• SUSY properties of warped AdS${}_3$
• Schrödinger Deformations of AdS_3 x S^3
• Lifshitz-like systems and AdS null deformations
• Semiclassical spectrum for BMN string in $Sc{h}_5\times S^5$
• Hyperscaling violation : a unified frame for effective holographic theories
• Universal time-dependent deformations of Schrodinger geometry
• Galilean anti-de-Sitter spacetime in Romans theory
• Non-Abelian T-duality for nonrelativistic holographic duals
• Particle Number and 3D Schroedinger Holography
• Holographic flows to IR Lifshitz spacetimes
• Yang-Baxter deformations of Minkowski spacetime
• Killing spinors from classical r-matrices
• Geometry and Phase Structure of Non-Relativistic Branes
• Open String in Non-Relativistic Background
• The Godel-Schrodinger Spacetime and Stringy Chronology Protection
• Yang-Baxter Deformations of the $Ad{S}_5\times T^{1,1}$ Superstring and their Backgrounds
• Light-Cone Reduction vs. TsT transformations : A Fluid Dynamics Perspective
• Enhanced Supersymmetry of Nonrelativistic ABJM Theory
• Pulsating strings in $Sch{r}_5\times T^{1,1}$ background
• Emergent Schrodinger geometries from mass-deformed CFT
• Note About Hamiltonian Dynamics of String in Non-Relativistic D3-Brane Background