Some No-go Theorems for String Duals of Non-relativistic Lifshitz-like Theories

Abstract

We study possibilities of string theory embeddings of the gravity duals for non-relativistic Lifshitz-like theories with anisotropic scale invariance. We search classical solutions in type IIA and eleven-dimensional supergravities which are expected to be dual to (2+1)-dimensional Lifshitz-like theories. Under reasonable ansaetze, we prove that such gravity duals in the supergravities are not possible. We also discuss a possible physical reason behind this.

18 pages, Latex, flux conditions clarified (v2), brief summary of results added (v3)

References in corpus (15)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Building an AdS/CFT superconductor
• On the Geometry of the String Landscape and the Swampland
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Topological Order and Conformal Quantum Critical Points
• Black holes in asymptotically Lifshitz spacetime
• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• On String Theory Duals of Lifshitz-like Fixed Points
• Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
• Holographic stress tensor for non-relativistic theories
• 1/N Effects in Non-Relativistic Gauge-Gravity Duality
• A second look at N=1 supersymmetric AdS_4 vacua of type IIA supergravity
• Nearly Kaehler Reduction
• $C{P}^{N-1}$ Models at a Lifshitz Point

Cited by in corpus (8)

• Lifshitz holography
• Lifshitz Black Hole in Three Dimensions
• On Lifshitz scaling and hyperscaling violation in string theory
• Quasinormal frequencies and thermodynamic quantities for the Lifshitz black holes
• Holographic fermions in charged Lifshitz theory
• Lifshitz-like systems and AdS null deformations
• Renormalization group flows in a Lifshitz-like four fermi model
• On the Rényi entropy of Lifshitz and hyperscaling violating black holes