Non-relativistic holography

By Marika Taylor. 2008

502 citations recorded by the source corpus.

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, engineered with a variety of matter Lagrangians, and their finite temperature generalizations. The thermodynamic properties of the finite temperature backgrounds are precisely those expected for anisotropic, scale invariant field theories. The brane and string theory realizations of such backgrounds are briefly discussed, along with their holographic interpretationin terms of marginal but non Lorentz invariant deformations of conformal field theories. We initiate discussion of holographic renormalization in these backgrounds, and note that such systematic renormalization is necessary to obtain the correct behavior of correlation functions.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/090bac97905213b9ccebbff08de48ffbbd6e7944

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Citations in the corpus

Black holes and black branes in Lifshitz spacetimes (2011, methodology): “On the other hand, the background in [25], including a dilaton-like scalar, is under better analytic control, and analytic charged black hole solutions can be found easily, as we demonstrate in this paper.”
Lifshitz holography (2015, methodology): “A simple way to obtain a Lifshitz solution is by coupling Einstein gravity to a massive vector Aμ [4].”
Lifshitz scaling and hyperscaling violation in string theory (2012, background): “Effective gravity theories with abelian gauge fields as well as scalar fields [3, 4, 20, 21, 22, 23, 24, 25, 26, 27] are in fact quite rich, and have been shown to contain larger classes of solutions exhibiting interesting scaling properties.”
Lectures on holographic methods for condensed matter physics (2009, unknown): “[26, 27, 29]).”
Torsional Newton–Cartan geometry and the Schrödinger algebra (2014, methodology): “There are however other setups leading to Lifshitz space-times, such as the Einstein–Maxwell-dilaton model with a logarithmically running dilaton [26].”
Lifshitz space–times for Schrödinger holography (2014, background): “Following the success of holography in describing strongly coupled relativistic field theories, recent years have shown an increasing interest in applying similar techniques to strongly coupled systems with nonrelativistic symmetries [1, 2, 3, 4].”
Aspects of holography for theories with hyperscaling violation (2012, background): “2) They arise as exact solutions of simple gravity theories coupled to appropriate matter [6, 7], with the simplest such theory also including an abelian gauge field in the bulk.”
Holography of charged dilaton black holes (2009, background): “The solution we have discussed above, with a Lifshitz-symmetric metric, was in fact already found in §3 of [29], where however the focus was on black brane solutions with different (Lifshitz instead of AdS) asymptotics (8).”
Holography of dyonic dilaton black branes (2010, background): “This class of solutions, but with different asymptotics than those of interest to us, was discussed in [15] (the solutions there were asymptotically Lifshitz, and have strong coupling at infinity; for other asymptotically Lifshitz black hole solutions, see [16, 17]).”
Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity (2011, background): “Second, the solution has a smooth limit when δ → 0, and reduces to the black brane found in [13], [27] in this limit.”
Quantum critical lines in holographic phases with (un)broken symmetry (2012, background): “• θ = 0 (δ = 0) gives a Lifshitz metric, [15, 16].”
Generalized holographic quantum criticality at finite density (2011, background): “It is known to have Lifshitz solutions, [15], which are the δ → 0 limit of the charged extremal solution (3.”
Effective holographic theories for low-temperature condensed matter systems (2010, background): “s, it implies extremality. The ﬁnite charge density solutions we will examine have been obtained for the ﬁrst time in [36], see (6.1), or are generalisations of solutions found in previous literature [49, 50, 23], see (7.1) and (8.1). For the sake of completeness and to give an overview of previous ”
Lifshitz solutions of D=10 and D=11 supergravity (2010, background): “Lifshitz solutions were first constructed in a bottom up context in a D = 4 theory of gravity with cosmological constant coupled to a vector field and a two-form [1], or equivalently, to a single massive vector field [32].”