An analytic Lifshitz black hole

By K. Balasubramanian, John McGreevy. 2009

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A Lifshitz point is described by a quantum field theory with anisotropic scale invariance (but not Galilean invariance). In [8], gravity duals were conjectured for such theories. We construct analytically a black hole that asymptotes to a vacuum Lifshitz solution; this black hole solves the equations of motion of some simple (but somewhat strange) extensions of the models of [8]. We study its thermodynamics and scalar response functions. The scalar wave equation turns out to be exactly solvable. Interestingly, the Green's functions do not exhibit the ultralocal behavior seen previously in the free Lifshitz scalar theory.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1b2fa0e74e891f156f3ceb704129b57f43bff315

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Citations in the corpus

Lifshitz spacetimes from AdS null and cosmological solutions (2010, background): “m(2)A = 4 (AdS5) or m 2 A = 2 (AdS4), agreeing with [21].”
Lifshitz holography (2015, background): “Such realisations have slightly undesirable features, however: the model used in [97] has a scalar with no kinetic term; the analysis of [98] is applicable only for dynamical exponents close to one and the analytic solutions in [75] have spherical horizons.”
Towards strange metallic holography (2009, background): “The precise form of f(v) will depend on the theory and various solutions of this form have been constructed [21, 22, 23, 24].”
Black holes and black branes in Lifshitz spacetimes (2011, background): “Some examples of analytic solutions, not necessarily with an Einstein gravity action, exist for fixed value of z [9, 10, 11, 12, 13, 14, 15, 16, 17].”
Holography of charged dilaton black holes (2009, background): “Other interesting examples of black hole solutions which asymptote to 4D Lifshitz metrics with various values of the dynamical exponent z have appeared in [32–41].”
Electron stars for holographic metallic criticality (2010, unknown): “on (4.1) as a starting point for Lifshitz holography, with the UV given by (3.1) rather than AdS 4. Lifshitz holography requires additional boundary counterterms. These are most conveniently packaged [53, 54] as a series in powers of jd˚+ Aj2+e 2h 1 2 , as this combination vanishes on the Lifshitz b”
Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, background): “However, considerable progress has been made in the context of both Lifschitz and Schrödinger systems, including the construction of charged black holes corresponding to NRCFTs at finite temperature and chemical potential [384–387] and the construction of some toy non-relativistic superfluids (see, ”
Black hole chemistry: thermodynamics with Lambda (2016, methodology): “ z6= 1 ; (6.27) a toy model being the Lifshitz eld theory with z= 2. { 57 { In order to describe the eld theory at a nite temperature one considers asymptotically Lifshitz black hole spacetimes, e.g. [274, 275, 61, 276] (see also [277, 278] for comments on their pathologies). Employing the metric an”