Aspects of holography for theories with hyperscaling violation

XI DONG; SARAH HARRISON; SHAMIT KACHRU; GONZALO TORROBA; HUAJIA WANG

JOURNAL OF HIGH ENERGY PHYSICS - (Online)

Springer-Verlag

Año: 2012 vol. 2012 p. 1 - 32

1029-8479

We analyze various aspects of the recently proposed holographic theories with general dynamical critical exponent z and hyperscaling violation exponent $theta$. We first find the basic constraints on $z, theta$ 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 $theta$. At short distance, the two-point functions become power-law, with a universal form for $theta$ greater than 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 $theta$ nonzero metrics into full string theory models -- these metrics characterize large regions of the parameter space of Dp-brane metrics for $p$ different than. For instance, the theory of N D2-branes in IIA supergravity has z=1 and $theta = -1/3$ over a wide range of scales, at large $g_s N$.