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arXiv · 0908.0363

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

Wei Li·Tatsuma Nishioka·Tadashi Takayanagi
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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.

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Wei Li, Tatsuma Nishioka, Tadashi Takayanagi. 2009-09-15. Some No-go Theorems for String Duals of Non-relativistic Lifshitz-like Theories. https://doi.org/10.1088/1126-6708/2009/10/015

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