Conductivities from attractors

In the context of applications of the AdS/CFT correspondence to condensed matter physics, we compute conductivities for field theory duals of dyonic planar black holes in 3+1-dimensional Einstein-Maxwell-dilaton theories at zero temperature. We combine the near-horizon data obtained via Sen’s entrop...

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Detalles Bibliográficos
Autores: Erdmenger, Johanna, Fernández, Daniel, Goulart, Prieslei [UNESP], Witkowski, Piotr
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:Brasil
Institución:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/174423
Acceso en línea:http://dx.doi.org/10.1007/JHEP03(2017)147
http://hdl.handle.net/11449/174423
Access Level:acceso abierto
Palabra clave:AdS-CFT Correspondence
Gauge-gravity correspondence
Holography and condensed matter physics (AdS/CMT)
Descripción
Sumario:In the context of applications of the AdS/CFT correspondence to condensed matter physics, we compute conductivities for field theory duals of dyonic planar black holes in 3+1-dimensional Einstein-Maxwell-dilaton theories at zero temperature. We combine the near-horizon data obtained via Sen’s entropy function formalism with known expressions for conductivities. In this way we express the conductivities in terms of the extremal black hole charges. We apply our approach to three different examples for dilaton theories for which the background geometry is not known explicitly. For a constant scalar potential, the thermoelectric conductivity explicitly scales as αxy ∼ N3/2, as expected. For the same model, our approach yields a finite result for the heat conductivity κ/T ∝ N3/2 even for T → 0.