Aspects of holography for theories with hyperscaling violation

Xi Dong; Sarah Harrison; Shamit Kachru; Gonzalo Torroba; Huajia Wang

doi:10.1007/JHEP06(2012)041

paper

Aspects of holography for theories with hyperscaling violation

arXiv:1201.1905 · doi:10.1007/JHEP06(2012)041

Abstract

We 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 $θ \neq = 0$ metrics into full string theory models -- these metrics characterize large regions of the parameter space of Dp-brane metrics for $p \neq = 3$ . For instance, the theory of N D2-branes in IIA supergravity has z=1 and $θ = - 1/3$ over a wide range of scales, at large $g_{s} N$ .

35 pages; v2: new references added; v3: proper reference [14] added; v4: minor clarifications

Aspects of holography for theories with hyperscaling violation

Abstract

References in corpus (23)

Cited by in corpus (260)