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Extremal Horizons with Reduced Symmetry: Hyperscaling Violation, Stripes, and a Classification for the Homogeneous Case
 JHEP 1303 (2013) 126 [1212.1948]. – 55
"... Classifying the zerotemperature ground states of quantum field theories with finite charge density is a very interesting problem. Via holography, this problem is mapped to the classification of extremal charged black brane geometries with antide Sitter asymptotics. In a recent paper [1], we propos ..."
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Classifying the zerotemperature ground states of quantum field theories with finite charge density is a very interesting problem. Via holography, this problem is mapped to the classification of extremal charged black brane geometries with antide Sitter asymptotics. In a recent paper [1], we proposed a Bianchi classification of the extremal nearhorizon geometries in five dimensions, in the case where they are homogeneous but, in general, anisotropic. Here, we extend our study in two directions: we show that Bianchi attractors can lead to new phases, and generalize the classification of ar X iv
Interpolating from Bianchi attractors to Lifshitz and AdS spacetimes
 JHEP
, 2014
"... Abstract: We construct classes of smooth metrics which interpolate from Bianchi attractor geometries of Types II, III, VI and IX in the IR to Lifshitz or AdS2 × S3 geometries in the UV. While we do not obtain these metrics as solutions of Einstein gravity coupled to a simple matter field theory, we ..."
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Abstract: We construct classes of smooth metrics which interpolate from Bianchi attractor geometries of Types II, III, VI and IX in the IR to Lifshitz or AdS2 × S3 geometries in the UV. While we do not obtain these metrics as solutions of Einstein gravity coupled to a simple matter field theory, we show that the matter sector stressenergy required to support these geometries (via the Einstein equations) does satisfy the weak, and therefore also the null, energy condition. Since Lifshitz or AdS2×S3 geometries can in turn be connected to AdS5 spacetime, our results show that there is no barrier, at least at the level of the energy conditions, for solutions to arise connecting these Bianchi attractor geometries to AdS5 spacetime. The asymptotic AdS5 spacetime has no nonnormalizable metric deformation turned on, which suggests that furthermore, the Bianchi attractor geometries can be the IR geometries dual to field theories living in flat space, with the breaking of symmetries being either spontaneous or due to sources for other fields. Finally, we show that for a large class of flows which connect two Bianchi attractors, a Cfunction can be defined which is monotonically decreasing from the UV to the IR as long as the null energy condition is satisfied. However, except for special examples of Bianchi attractors (including AdS space), this function does not attain a finite and nonvanishing constant value at the end points. ar X iv
SUITP11/23 SLACPUB14441 Generalized Attractor Points in Gauged Supergravity
"... The attractor mechanism governs the nearhorizon geometry of extremal black holes in ungauged 4D N=2 supergravity theories and in CalabiYau compactifications of string theory. In this paper, we study a natural generalization of this mechanism to solutions of arbitrary 4D N=2 gauged supergravities. ..."
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The attractor mechanism governs the nearhorizon geometry of extremal black holes in ungauged 4D N=2 supergravity theories and in CalabiYau compactifications of string theory. In this paper, we study a natural generalization of this mechanism to solutions of arbitrary 4D N=2 gauged supergravities. We define generalized attractor points as solutions of an ansatz which reduces the Einstein, gauge field, and scalar equations of motion to algebraic equations. The simplest generalized attractor geometries are characterized by nonvanishing constant anholonomy coefficients in an orthonormal frame. Basic examples include Lifshitz and Schrödinger solutions, as well as AdS and dS vacua. There is a generalized attractor potential whose critical points are the attractor points, and its extremization explains the algebraic nature of the equations governing both supersymmetric and nonsupersymmetric attractors.
J H E P08(2012)079
, 2012
"... Stringy stability of charged dilaton black holes with flat event horizon ..."