Lifshitz-like systems and AdS null deformations
Abstract
Following arXiv:1005.3291 [hep-th], we discuss certain lightlike deformations of in Type IIB string theory sourced by a lightlike dilaton dual to the N=4 super Yang-Mills theory with a lightlike varying gauge coupling. We argue that in the case where the -direction is noncompact, these solutions describe anisotropic 3+1-dim Lifshitz-like systems with a potential in the -direction generated by the lightlike dilaton. We then describe solutions of this sort with a linear dilaton. This enables a detailed calculation of 2-point correlation functions of operators dual to bulk scalars and helps illustrate the spatial structure of these theories. Following this, we discuss a nongeometric string construction involving a compactification along the -direction of this linear dilaton system. We also point out similar IIB axionic solutions. Similar bulk arguments for -noncompact can be carried out for deformations of in M-theory.
Cite
@article{arxiv.1103.1279,
title = {Lifshitz-like systems and AdS null deformations},
author = {K. Narayan},
journal= {arXiv preprint arXiv:1103.1279},
year = {2013}
}
Comments
Latex, 20pgs, 1 eps fig; v2. references added; v3. minor clarifications added, to appear in PRD