We present an overview of the construction of the general holographic dictionary for asymptotically locally Lifshitz and hyperscaling violating Lifshitz backgrounds with arbitrary dynamical exponents z and θ, compatible with the null energy condition, which was recently developed in [1,2]. A concrete definition of asymptotically locally Lifshitz and hyperscaling violating Lifshitz backgrounds is provided in the context of a generic bottom-up Einstein-Proca-Dilaton theory, and a systematic procedure for solving the radial Hamilton-Jacobi equation via a covariant expansion in eigenfunctions of two commuting operators is presented. The resulting asymptotic solution of the Hamilton-Jacobi equation is subsequently used to derive the full holographic dictionary, including the Fefferman-Graham asymptotic expansions and the non-relativistic holographic Ward identities.
|Titolo:||Hyperscaling violating Lifshitz holography|
|Rivista:||NUCLEAR AND PARTICLE PHYSICS PROCEEDINGS|
|Digital Object Identifier (DOI):||10.1016/j.nuclphysbps.2015.09.240|
|Data di pubblicazione:||2016|
|Appare nelle tipologie:||4.1 Contribution in Conference proceedings|