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On universality of charge transport in AdS/CFT

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Abstract

We develop the holographic formulation of transport in strongly coupled two-layer systems. We identify a dc conductivity, σ dc, that is finite even in a translationally invariant setup, and universal for CFTs with a gravity dual. The thermoelectric conductivity and heat conductivity are fully determined by the electrical conductivity matrix, as a consequence of Ward identities. We use the memory-matrix approach for double-layer systems, together with Ward identities, to show that σ dc — extended to finite frequency — has no Drude peak and, similarly, that its universal value is unaffected if translation-invariance is softly broken.

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Authors and Affiliations

  1. Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA, 02139, U.S.A.

    Julian Sonner

  2. L.N.S., Massachusetts Institute of Technology, Cambridge, MA, 02139, U.S.A.

    Julian Sonner

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  1. Julian Sonner
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Correspondence to Julian Sonner.

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ArXiv ePrint: 1304.7774v2

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Sonner, J. On universality of charge transport in AdS/CFT. J. High Energ. Phys. 2013, 145 (2013). https://doi.org/10.1007/JHEP07(2013)145

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