Holography of dyonic dilaton black branes

Goldstein, Kevin ; Iizuka, Norihiro ; Kachru, Shamit ; Prakash, Shiroman ; Trived, Sandip P. ; Westphal, Alexander (2010) Holography of dyonic dilaton black branes Journal of High Energy Physics, 2010 (10). pp. 1-51. ISSN 1126-6708

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Official URL: http://www.springerlink.com/content/0x0714u78858r3...

Related URL: http://dx.doi.org/10.1007/JHEP10(2010)02

Abstract

We study black branes carrying both electric and magnetic charges in Einstein-Maxwell theory coupled to a dilaton-axion in asymptotically anti de Sitter space. After reviewing and extending earlier results for the case of electrically charged branes, we characterise the thermodynamics of magnetically charged branes. We then focus on dyonic branes in theories which enjoy an SL(2,R) electric-magnetic duality. Using SL(2,R), we are able to generate solutions with arbitrary charges starting with the electrically charged solution, and also calculate transport coefficients. These solutions all exhibit a Lifshitz-like near-horizon geometry. The system behaves as expected for a charged fluid in a magnetic field, with non-vanishing Hall conductance and vanishing DC longitudinal conductivity at low temperatures. Its response is characterised by a cyclotron resonance at a frequency proportional to the magnetic field, for small magnetic fields. Interestingly, the DC Hall conductance is related to the attractor value of the axion. We also study the attractor flows of the dilaton-axion, both in cases with and without an additional modular-invariant scalar potential. The flows exhibit intricate behaviour related to the duality symmetry. Finally, we briefly discuss attractor flows in more general dilaton-axion theories which do not enjoy SL(2,R) symmetry.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
Keywords:Gauge-gravity Correspondence; Black Holes in String Theory; Ads-CFT Correspondence; Chern-simons Theories
ID Code:57592
Deposited On:27 Aug 2011 15:05
Last Modified:18 May 2016 08:56

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