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      Quantum corrections to extremal black brane solutions

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          Abstract

          We discuss quantum corrections to extremal black brane solutions in N=2 U(1) gauged supergravity in four dimensions. We consider modifications due to a certain class of higher-derivative terms as well as perturbative corrections to the prepotential. We use the entropy function formalism to assess the impact of these corrections on singular brane solutions and we give a few examples. We then use first-order flow equations to construct solutions that interpolate between quantum corrected fixed points of the associated potentials.

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          Gravity Duals of Lifshitz-like Fixed Points

          Shamit Kachru, Xiao Liu, Michael S Mulligan (2008)
          We find candidate macroscopic gravity duals for scale-invariant but non-Lorentz invariant fixed points, which do not have particle number as a conserved quantity. We compute two-point correlation functions which exhibit novel behavior relative to their AdS counterparts, and find holographic renormalization group flows to conformal field theories. Our theories are characterized by a dynamical critical exponent \(z\), which governs the anisotropy between spatial and temporal scaling \(t \to \lambda^z t\), \(x \to \lambda x\); we focus on the case with \(z=2\). Such theories describe multicritical points in certain magnetic materials and liquid crystals, and have been shown to arise at quantum critical points in toy models of the cuprate superconductors. This work can be considered a small step towards making useful dual descriptions of such critical points.
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            Lectures on holographic methods for condensed matter physics

            (2010)
            These notes are loosely based on lectures given at the CERN Winter School on Supergravity, Strings and Gauge theories, February 2009 and at the IPM String School in Tehran, April 2009. I have focused on a few concrete topics and also on addressing questions that have arisen repeatedly. Background condensed matter physics material is included as motivation and easy reference for the high energy physics community. The discussion of holographic techniques progresses from equilibrium, to transport and to superconductivity.
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              Black Hole Attractors and the Topological String

              Cumrun Vafa, Andrew Strominger, Hirosi Ooguri (2004)
              A simple relationship of the form Z_BH = |Z_top|^2 is conjectured, where Z_BH is a supersymmetric partition function for a four-dimensional BPS black hole in a Calabi-Yau compactification of Type II superstring theory and Z_top is a second-quantized topological string partition function evaluated at the attractor point in moduli space associated to the black hole charges. Evidence for the conjecture in a perturbation expansion about large graviphoton charge is given. The microcanonical ensemble of BPS black holes can be viewed as the Wigner function associated to the wavefunction defined by the topological string partition function.
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                Author and article information

                Journal
                Publication date Created: 13 November 2013
                Publication date Updated: 2014-03-12
                Article
                DOI: 10.1007/JHEP02(2014)105
                ArXiV ID: 1311.3136
                SO-VID: eb39d53b-4518-4d46-838c-2d23a118330c
                License:

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Report No LMU-ASC 76/13, MPP-2013-284
                Comments 30 pages, 10 figures; v2: references added, as well as a discussion about how to obtain the attractor equations by extremizing an effective potential, coincides with published version
                Categories hep-th

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