Aspects of holography for theories with hyperscaling violation

By Xi Dong, Sarah M. Harrison, S. Kachru, G. Torroba, Huajia Wang. 2012

400 citations recorded by the source corpus.

A bstractWe analyze various aspects of the recently proposed holographic theories with general dynamical critical exponent z and hyperscaling violation exponent θ. We first find the basic constraints on z, θ from the gravity side, and compute the stress-energy tensor expectation values and scalar two-point functions. Massive correlators exhibit a nontrivial exponential behavior at long distances, controlled by θ. At short distance, the two-point functions become power-law, with a universal form for θ > 0. Next, the calculation of the holographic entanglement entropy reveals the existence of novel phases which violate the area law. The entropy in these phases has a behavior that interpolates between that of a Fermi surface and that exhibited by systems with extensive entanglement entropy. Finally, we describe microscopic embeddings of some θ ≠ 0 metrics into full string theory models — these metrics characterize large regions of the parameter space of Dp-brane metrics for p ≠ 3. For instance, the theory of N D2-branes in IIA super gravity has z = 1 and θ = −1/3 over a wide range of scales, at large gsN.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/3c8fe99624d8da37d90660e3c68f7c7c4cc4b558

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Citations in the corpus

Quantum critical lines in holographic phases with (un)broken symmetry (2012, methodology): “This has been argued to signal a “hidden” Fermi surface where the charge carriers are gauge-variant operators associated to horizon degrees of freedom, [46, 6, 7].”
Holographic Quantum Matter (2016, background): “For instance, microscopic examples of theories with zero density hyperscaling-violating intermediate energy regimes are non-conformal D-brane theories, such as super YangMills theory in 2+1 dimensions [208].”
Lifshitz scaling and hyperscaling violation in string theory (2012, methodology): “Aspects of holography for these metrics have been discussed in [30].”
Holographic black hole chemistry (2015, neutral): “From this, we can read off the scaling for the field theory entropy, energy, and charge (if present) densities [21]”
Lifshitz holography (2015, background): “Following [20], a number of works explored holography for hyperscaling geometries, see for example [169, 21].”
Introduction to holographic superconductor models (2015, background): “From a modern perspective, the correspondence is an equality between a quantum field theory (QFT) in d dimensional spacetime and a (4)The simple examples are Lifshitz symmetry [33] and Schrödinger symmetry [34, 35], while more generic cases are those with generalized Lifshitz invariance and hypersca”
Universal diffusion in incoherent black holes (2016, background): “6) (7)Note our radial coordinate differs from the more familiar one in [27] by r = r̃θ−z.”
Boundary stress-energy tensor and Newton-Cartan geometry in Lifshitz holography (2013, neutral): “Lifshitz geometries [3, 4, 5] together with hyperscaling violating geometries [6, 7, 8] as well as more general Bianchi type space-times [9] have occurred as effective IR geometries that could furnish as a groundstate geometry of some CM system.”