# Lifshitz-like systems and AdS null deformations

Source: [Lifshitz-like systems and AdS null deformations](<https://www.sota2.com/research/paper/68fa2c551e209131ce84efb0>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T15:16:47.266Z

Authors: K. Narayan

Published: 2011-03-07T14:30:32.000Z

## Abstract

Following arXiv:1005.3291 \[hep-th\], we discuss certain lightlike deformations of $AdS\_5\\times X^5$ in Type IIB string theory sourced by a lightlike dilaton $\\Phi(x^+)$ dual to the N=4 super Yang-Mills theory with a lightlike varying gauge coupling. We argue that in the case where the $x^+$-direction is noncompact, these solutions describe anisotropic 3+1-dim Lifshitz-like systems with a potential in the $x^+$-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 $x^+$-direction of this linear dilaton system. We also point out similar IIB axionic solutions. Similar bulk arguments for $x^+$-noncompact can be carried out for deformations of $AdS\_4\\times X^7$ in M-theory.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1103.1279>)

[PDF](<https://arxiv.org/pdf/1103.1279.pdf>)