Aspects of holography for theories with hyperscaling violation

被引:243
作者
Dong, Xi [1 ]
Harrison, Sarah
Kachru, Shamit
Torroba, Gonzalo
Wang, Huajia
机构
[1] Stanford Univ, Dept Phys, Stanford Inst Theoret Phys, Stanford, CA 94305 USA
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2012年 / 06期
基金
美国国家科学基金会;
关键词
Gauge-gravity correspondence; Holography and condensed matter physics (AdS/CMT); D-branes; FIELD-THEORIES; ENTROPY;
D O I
10.1007/JHEP06(2012)041
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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 > 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 = 0 metrics into full string theory models - these metrics characterize large regions of the parameter space of Dp-brane metrics for p not equal 3. 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.
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页数:33
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