Effective holographic theories of momentum relaxation and violation of conductivity bound

• Published in: The journal of high energy physics Vol. 2016; no. 4; pp. 1 - 23
• Main Authors: Goutéraux, Blaise, Kiritsis, Elias, Li, Wei-Jia
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2016; Springer
• Subjects: Broken symmetry; Charge transport; Charging; Classical and Quantum Gravitation; Couplings; Derivatives; Elementary Particles; General Physics; High Energy Physics - Theory; Mathematical analysis; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Relativity Theory; String Theory; Symmetry; Translations; AdS-CFT Correspondence; Gauge-gravity correspondence; Holography and condensed matter physics (AdS/CMT); temperature: 0; coupling: derivative; effective field theory; horizon; symmetry breaking: translation; derivative: high; conductivity; black brane: solution; holography; symmetry: translation
• ISSN: 1029-8479; 1126-6708; 1029-8479
• DOI: 10.1007/JHEP04(2016)122

A bstract We generalize current holographic models with homogeneous breaking of translation symmetry by incorporating higher derivative couplings, in the spirit of effective field theories. Focusing on charge transport, we specialize to two simple couplings between the charge and translation symmetry breaking sectors. We obtain analytical charged black brane solutions and compute their DC conductivity in terms of horizon data. We constrain the allowed values of the couplings and note that the DC conductivity can vanish at zero temperature for strong translation symmetry breaking, thus showing that in general there is no lower bound on the conductivity.