# On Lifshitz scaling and hyperscaling violation in string theory

Source: [On Lifshitz scaling and hyperscaling violation in string theory](<https://www.sota2.com/research/paper/68fa2c541e209131ce84ee1d>)

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

Data updated: 2025-10-24T15:15:45.294Z

Authors: K. Narayan

Published: 2012-02-27T13:57:06.000Z

## Abstract

We explore string/M-theory constructions of holographic theories with Lifshitz scaling exponent $z$ and hyperscaling violation exponent $\\theta$, finding a range of $z,\\theta$-values. Some of these arise as effective metrics from dimensional reduction of certain kinds of null deformations of $AdS$ spacetimes appearing in the near horizon geometries of extremal D3-, M2- and M5-brane theories. The $AdS\_5$ solution in particular gives rise to $\\theta=1$ in $d=2$ (boundary) space dimensions. Other solutions arise as the IIA D2- and D4-brane solutions with appropriate null deformations, and we discuss the phase structure of these systems.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1202.5935>)

[PDF](<https://arxiv.org/pdf/1202.5935.pdf>)