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Holographic Hall conductivities from dyonic backgrounds

Tijdschriftbijdrage - Tijdschriftartikel

We develop a general framework for computing the holographic 2-point functions and the corresponding conductivities in asymptotically locally AdS backgrounds with an electric charge density, a constant magentic field, and possibly non-trivial scalar profiles, for a broad class of Einstein-Maxwell-Axion-Dilaton theories, including certain Chern-Simons terms. Holographic renormalization is carried out for any theory in this class and the computation of the renormalized AC conductivities at zero spatial momentum is reduced to solving a single decoupled first order Riccati equation. Moreover, we develop a first order fake supergravity formulalism for dyonic renormalization group flows in four dimensions, allowing us to construct analytically infinite families of such backgrounds by specifying a superpotential at will. These RG flows interpolate between AdS$_4$ in the UV and a hyperscaling violating Lifshitz geometry in the IR with exponents $1z$1z
Tijdschrift: Journal of High Energy Physics
ISSN: 1126-6708
Issue: 7
Volume: 2015
Aantal pagina's: 58
Jaar van publicatie:2015
Trefwoorden:hep-th, cond-mat.str-el