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

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

2009-08-04

arxiv.org/abs/0908.0363v3

JHEP 0910:015,2009

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1126-6708/2009/10/015

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.

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