Lifshitz/Schrödinger Dp-branes and dynamical exponents

Abstract

We extend our earlier study of special double limits of 'boosted' AdS 5 black hole solutions to include all black Dp-branes of type II strings. We find that Lifshitz solutions can be obtained in generality, with varied dynamical exponents, by employing these limits. We then study such double limits for 'boosted' Dp-brane bubble solutions and find that the resulting non-relativistic solutions instead describe Schrödinger like spacetimes, having varied dynamical exponents. We get a simple map between these Lifshitz & Schrödinger solutions and a relationship between two types of dynamical exponents. We also discuss about the singularities of the Lifshitz solutions and an intriguing thermodynamic duality.

Holographic thermalization with Lifshitz scaling and hyperscaling violation

“…By now there exist various holographic dual models for critical points involving Lifschitz scaling and hyperscaling violation [33][34][35][36][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57]. In the light of the rich scaling structure in the time evolution of entanglement entropy, it is interesting to see how it carries over to systems with Lifshitz scaling and hyperscaling violation.…”

Hyperscaling violation, quasinormal modes and shear diffusion

“…These are conformally Lifshitz solutions to effective Einstein-Maxwell-Dilaton theories. Some of these exhibit novel entanglement scaling [6][7][8], reflected also in certain string realizations [9][10][11][12][13].…”

Heavy Quark Potential with Hyperscaling Violation

“…One of such generalizations is to use metric with hyperscaling violation. Usually, the metric is considered to be an extension of the Lifshitz metric and has a generic Lorentz violating form [16][17][18][19][20]. As we know, Lorentz symmetry represents a foundation of both general relativity and the standard model, so one may expect new physics from Lorentz invariance violation.…”