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Thermal backflow in CFTs.

Banks, E. and Donos, A. and Gauntlett, J. P. and Griffin, Tom and Melgar, Louis (2017) 'Thermal backflow in CFTs.', Physical review D., 95 (2). 025022.


We study the thermal transport properties of general conformal field theories (CFTs) on curved spacetimes in the leading order viscous hydrodynamic limit. At the level of linear response, we show that the thermal transport is governed by a system of forced linearized Navier-Stokes equations on a curved space. Our setup includes CFTs in flat spacetime that have been deformed by spatially dependent and periodic local temperature variations or strains that have been applied to the CFT, and hence is relevant to CFTs arising in condensed matter systems at zero charge density. We provide specific examples of deformations which lead to thermal backflow driven by a dc source: that is, the thermal currents locally flow in the opposite direction to the applied dc thermal source. We also consider thermal transport for relativistic quantum field theories that are not conformally invariant.

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Publisher statement:Reprinted with permission from the American Physical Society: Physical Review D 95, 025022 © (2017) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.
Date accepted:06 January 2017
Date deposited:10 February 2017
Date of first online publication:30 January 2017
Date first made open access:10 February 2017

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