English

Lifshitz-like systems and AdS null deformations

High Energy Physics - Theory 2013-05-29 v3

Abstract

Following arXiv:1005.3291 [hep-th], we discuss certain lightlike deformations of AdS5×X5AdS_5\times X^5 in Type IIB string theory sourced by a lightlike dilaton Φ(x+)\Phi(x^+) dual to the N=4 super Yang-Mills theory with a lightlike varying gauge coupling. We argue that in the case where the x+x^+-direction is noncompact, these solutions describe anisotropic 3+1-dim Lifshitz-like systems with a potential in the x+x^+-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 x+x^+-direction of this linear dilaton system. We also point out similar IIB axionic solutions. Similar bulk arguments for x+x^+-noncompact can be carried out for deformations of AdS4×X7AdS_4\times X^7 in M-theory.

Keywords

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

R2 v1 2026-06-21T17:36:03.518Z