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We consider holography for Lifshitz spacetimes with dynamical exponent z=1+epsilon^2, where epsilon is small. We show that the holographically dual field theory is a specific deformation of the relativistic CFT, corresponding to the z=1…

High Energy Physics - Theory · Physics 2015-06-15 Yegor Korovin , Kostas Skenderis , Marika Taylor

We describe solutions of 10-dimensional supergravity comprising null deformations of $AdS_5\times S^5$ with a scalar field, which have $z=2$ Lifshitz symmetries. The bulk Lifshitz geometry in 3+1-dimensions arises by dimensional reduction…

High Energy Physics - Theory · Physics 2014-11-21 Koushik Balasubramanian , K. Narayan

We argue that Horava-Lifshitz (HL) gravity provides the minimal holographic dual for Lifshitz-type field theories with anisotropic scaling and dynamical exponent z. First we show that Lifshitz spacetimes are vacuum solutions of HL gravity,…

High Energy Physics - Theory · Physics 2013-03-27 Tom Griffin , Petr Horava , Charles M. Melby-Thompson

We investigate deformations of Lifshitz holography in $(n+1)$ dimensional spacetime. After discussing the situation for general Lifshitz scaling symmetry parameter $z$, we consider $z=n-1$ and the associated marginally relevant operators.…

High Energy Physics - Theory · Physics 2012-10-16 Miok Park , Robert B. Mann

We study the holographic dual of two-point correlation functions for nonconformal field theories. We first take into account a Lifshitz geometry as the dual of a Lifshitz field theory which may appear at a critical or IR fixed point. We…

High Energy Physics - Theory · Physics 2023-06-14 Chanyong Park

We consider holography for d-dimensional scale invariant but non-Lorentz invariant field theories, which do not admit the full Schrodinger symmetry group. We find new realizations of the corresponding (d+1)-dimensional gravity duals,…

High Energy Physics - Theory · Physics 2008-12-03 Marika Taylor

We study non-relativistic field theory coupled to a torsional Newton-Cartan geometry both directly as well as holographically. The latter involves gravity on asymptotically locally Lifshitz space-times. We define an energy-momentum tensor…

High Energy Physics - Theory · Physics 2015-09-16 Jelle Hartong , Elias Kiritsis , Niels A. Obers

Scalar field theories in $\text{(A)dS}_{2}$ with integer scaling dimensions $\Delta = k+1$ are characterised by the existence of a pair of (anti-)holomorphic higher-spin currents. We explore the consequences of this to describe their…

High Energy Physics - Theory · Physics 2026-01-30 Calvin Y. -R. Chen , Lukas W. Lindwasser , Massimo Porrati

We investigate anisotropic conformal Carroll field theories and their holographic duals. On the field theory side, we focus on the case with scaling exponent $z=0$ in two and three spacetime dimensions. These theories exhibit…

High Energy Physics - Theory · Physics 2025-09-09 Emilie Despontin , Stephane Detournay , Sudipta Dutta , Dima Fontaine

We investigate systematic classifications of low energy and lower dimensional effective holographic theories with Lifshitz and Schr\"odinger scaling symmetries only using metrics in terms of hyperscaling violation ($\theta$) and dynamical…

High Energy Physics - Theory · Physics 2012-11-16 Bom Soo Kim

We discuss holography for Schrodinger solutions of both topologically massive gravity in three dimensions and massive vector theories in (d+1) dimensions. In both cases the dual field theory can be viewed as a d-dimensional conformal field…

High Energy Physics - Theory · Physics 2011-02-15 Monica Guica , Kostas Skenderis , Marika Taylor , Balt van Rees

Is it possible for an anisotropic Lifshitz critical point to actually exhibit isotropic conformal invariance? We answer this question in the affirmative by constructing a concrete holographic realization. We study three-dimensional spin-3…

High Energy Physics - Theory · Physics 2014-08-12 Michael Gary , Daniel Grumiller , Stefan Prohazka , Soo-Jong Rey

Generally, quantum field theories can be thought as deformations away from conformal field theories. In this article, with a simple bottom up model assumed to possess a holographic description, we study a putative large N quantum field…

High Energy Physics - Theory · Physics 2018-08-01 Avik Banerjee , Arnab Kundu , Augniva Ray

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…

High Energy Physics - Theory · Physics 2013-05-30 K. Narayan

We show that holographic renormalization of relativistic gravity in asymptotically Lifshitz spacetimes naturally reproduces the structure of gravity with anisotropic scaling: The holographic counterterms induced near anisotropic infinity…

High Energy Physics - Theory · Physics 2015-06-03 Tom Griffin , Petr Horava , Charles M. Melby-Thompson

We examine holographic theories where Lifshitz symmetry is broken with spatial anisotropy. In particular, we focus on the conditions imposed by the null energy condition, and demonstrate that it is possible to have unusual anisotropic fixed…

High Energy Physics - Theory · Physics 2017-09-13 Joshua W. Foster , James T. Liu

An intriguing result presented by two of the present authors is that an anti de Sitter space can be derived from a conformal field theory by considering a flow equation. A natural expectation is that given a certain data on the boundary…

High Energy Physics - Theory · Physics 2019-06-12 Sinya Aoki , Shuichi Yokoyama , Kentaroh Yoshida

We initiate a holographic model building approach to `strange metallic' phenomenology. Our model couples a neutral Lifshitz-invariant quantum critical theory, dual to a bulk gravitational background, to a finite density of gapped probe…

High Energy Physics - Theory · Physics 2010-05-12 Sean A. Hartnoll , Joseph Polchinski , Eva Silverstein , David Tong

We use the holographic duality to study quantum quenches of a strongly coupled CFT that drive the theory towards a non-relativistic fixed point with Lifshitz scaling. We consider the case of a Lifshitz dynamical exponent $z$ close to unity,…

High Energy Physics - Theory · Physics 2016-03-15 Giancarlo Camilo , Bertha Cuadros-Melgar , Elcio Abdalla

We study asymptotically Lifshitz spacetimes and the constraints on flows between Lifshitz fixed points imposed by the null energy condition. In contrast with the relativistic holographic c-theorem, where the effective AdS radius, L, is…

High Energy Physics - Theory · Physics 2012-06-07 James T. Liu , Zhichen Zhao
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