Lifshitz scaling and hyperscaling violation in string theory

By K. Narayan. 2012

143 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d448eb8ccead24c32698976eb21da5ab82043a58

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In Astronomy and Astrophysics

  1. S. Sachdev
  2. Andrew Lucas
  3. S. Hartnoll
  4. G. Horowitz
  5. T. Takayanagi
  6. Christopher P. Herzog
  7. Blaise Goutéraux
  8. T. Nishioka

In Nuclear and High Energy Physics

  1. Andrew Lucas
  2. S. Sachdev
  3. S. Hartnoll
  4. Christopher P. Herzog
  5. T. Takayanagi
  6. G. Horowitz
  7. Blaise Goutéraux
  8. S. Gubser

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