Hyperscaling violating Lifshitz holography

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• 作者：Ioannis Papadimitriou^a ; ^b ; ^{Ioannis.Papadimitriou@sissa.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：AdS/CFT ; AdS/CMT ; holography ; Lifshitz ; hypesrcaling violation ; holographic renormalization
• 刊名：Nuclear and Particle Physics Proceedings
• 出版年：2016
• 出版时间：April-June 2016
• 年：2016
• 卷：273-275
• 期：Complete
• 页码：1487-1493
• 全文大小：221 K

文摘

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 [W. Chemissany, I. Papadimitriou, Generalized dilatation operator method for non-relativistic holography, arXiv:1405.3965, W. Chemissany, I. Papadimitriou, Lifshitz holography: The whole shebang, arXiv:1408.0795]. 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.