Aspects of holography for theories with hyperscaling violation

Abstract:We study the reconstructability of (d + 2)-dimensional bulk spacetime from (d+1)-dimensional boundary data, particularly concentrating on backgrounds which break (d+1)-dimensional Lorentz invariance. For a large class of such spacetimes, there exist null geodesics which do not reach the boundary. Therefore classically one might guess some information is trapped in the bulk and thus invisible at the boundary. We show that this classical intuition correctly predicts the quantum situation: whenever there are null geodesics which do not reach the boundary, there are also "trapped scalar modes" whose boundary imprint is exponentially suppressed. We use these modes to show that no smearing function exists for pure Lifshitz spacetime, nor for any flow which includes a Lifshitz region. Indeed, for any (planar) spacetime which breaks (d + 1)-dimensional Lorentz invariance at any radius, we show that local boundary data cannot reconstruct complete local bulk data.

Section: Jhep01(2014)062mentioning

confidence: 99%

What do non-relativistic CFTs tell us about Lifshitz spacetimes?

Keeler

Knodel

Liu

2014

“…where z is the dynamical exponent, measuring departure from isotropy, while θ measures violation of hyperscaling -that is, the entropy scales with the temperature in some effective spatial dimensionality, [54,66,67]:…”

Section: Jhep09(2012)011mentioning

confidence: 99%

Higher-derivative scalar-vector-tensor theories: black holes, Galileons, singularity cloaking and holography

Charmousis

Goutéraux

Kiritsis

2012

We consider a general Kaluza-Klein reduction of a truncated Lovelock theory. We find necessary geometric conditions for the reduction to be consistent. The resulting lower-dimensional theory is a higher derivative scalar-tensor theory, depends on a single real parameter and yields second-order field equations. Due to the presence of higherderivative terms, the theory has multiple applications in modifications of Einstein gravity (Galileon/Horndesky theory) and holography (Einstein-Maxwell-Dilaton theories). We find and analyze charged black hole solutions with planar or curved horizons, both in the 'Einstein' and 'Galileon' frame, with or without cosmological constant. Naked singularities are dressed by a geometric event horizon originating from the higher-derivative terms. The near-horizon region of the near-extremal black hole is unaffected by the presence of the higher derivatives, whether scale invariant or hyperscaling violating. In the latter case, the area law for the entanglement entropy is violated logarithmically, as expected in the presence of a Fermi surface. For negative cosmological constant and planar horizons, thermodynamics and first-order hydrodynamics are derived: the shear viscosity to entropy density ratio does not depend on temperature, as expected from the higher-dimensional scale invariance.

“…We stress that this is a local statement, independent of whether such geometries can be embedded into an asymptotically AdS solution. Such a source can come from positive internal curvature, for instance in sphere reductions [83,84] or near horizon limits of branes [80][81][82]. For the flux compactifications discussed in this work, the source of negative energy comes from orientifold planes.…”

Section: Jhep10(2013)126mentioning

confidence: 99%

“…The case θ = 1 is a promising candidate for Fermi surfaces [76][77][78], and more general values of θ can reproduce some of the properties of systems with disorder [79]. In UV complete theories, these geometries are in general valid over some finite range of r, with simple examples coming from Dp brane solutions [80][81][82]. Let us first discuss some general properties.…”

Section: Branes With Hyperscaling Violationmentioning

confidence: 99%

See 1 more Smart Citation

Black branes in flux compactifications

Torroba

Wang

2013

Self Cite

We construct charged black branes in type IIA flux compactifications that are dual to (2 + 1)-dimensional field theories at finite density. The internal space is a general Calabi-Yau manifold with fluxes, with internal dimensions much smaller than the AdS radius. Gauge fields descend from the 3-form RR potential evaluated on harmonic forms of the Calabi-Yau, and Kaluza-Klein modes decouple. Black branes are described by a four-dimensional effective field theory that includes only a few light fields and is valid over a parametrically large range of scales. This effective theory determines the low energy dynamics, stability and thermodynamic properties. Tools from flux compactifications are also used to construct holographic CFTs with no relevant scalar operators, that can lead to symmetric phases of condensed matter systems stable to very low temperatures. The general formalism is illustrated with simple examples such as toroidal compactifications and manifolds with a single size modulus. We initiate the classification of holographic phases of matter described by flux compactifications, which include generalized Reissner-Nordstrom branes, nonsupersymmetric AdS 2 × R 2 and hyperscaling violating solutions.