Some no-go theorems for string duals of non-relativistic Lifshitz-like theories

2009/08/31 by Wei Li, Tatsuma Nishioka, Tadashi Takayanagi · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1088/1126-6708/2009/10/015

published as JHEP 0910:015,2009 · 18 pages, Latex, flux conditions clarified (v2), brief summary of results added (v3)

arxiv created 2009/09/15 · openalex publication_date 2009/10/06 · arxiv updated 2010/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Building an AdS/CFT superconductor
• de Sitter Vacua in String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity

Cited by

• Renormalization group flows in a Lifshitz-like four-Fermi model
• Holographic fermions in charged Lifshitz theory