Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP04(2014)040
Keywords
Gauge-gravity correspondence; Black Holes in String Theory; AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT)
Categories
Funding
- STFC [ST/J0003533/1]
- European Research Council under the European Union [STG 279943]
- EPSRC [EP/K034456/1] Funding Source: UKRI
- STFC [ST/J000353/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/K034456/1] Funding Source: researchfish
- Science and Technology Facilities Council [ST/J000353/1] Funding Source: researchfish
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We introduce a new framework for constructing black hole solutions that are holographically dual to strongly coupled field theories with explicitly broken translation invariance. Using a classical gravitational theory with a continuous global symmetry leads to constructions that involve solving ODEs instead of PDEs. We study in detail D = 4 Einstein-Maxwell theory coupled to a complex scalar field with a simple mass term. We construct black holes dual to metallic phases which exhibit a Drude-type peak in the optical conductivity, but there is no evidence of an intermediate scaling that has been reported in other holographic lattice constructions. We also construct black holes dual to insulating phases which exhibit a suppression of spectral weight at low frequencies. We show that the model also admits a novel AdS (3) x solution.
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