Conformal field theories ind=4with a helical twist

Abstract

Reprinted with permission from the American Physical Society: Physical Review D 91, 066003 c 2015 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, modied, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society. Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. Within the context of holography we study the general class of d ¼ 4 conformal field theories (CFTs) after applying a universal helical deformation. At finite temperature we construct the associated black hole solutions of Einstein gravity, numerically, by exploiting a Bianchi VII 0 ansatz for the bulk D ¼ 5 metric. At T ¼ 0 we show that they flow in the IR to exactly the same CFT. The deformation gives rise to a finite, nonzero DC thermal conductivity along the axis of the helix, which we determine analytically in terms of black hole horizon data. We also calculate the AC thermal conductivity along this axis and show that it exhibits Drude-like peaks.

Dissecting holographic conductivities

“…Another question is the sensitivity of our results to the choice of momentum relaxation mechanism: would they be modified if we had instead used random-field disorder [3,4,22,[37][38][39], or homogeneous [19,40,41] or inhomogeneous lattices [20,32,42] to break translational invariance? Furthermore, if we had broken translational invariance with electrically charged, rather than neutral, operators, would this affect the nature of transport in the system?…”

Thermoelectric conductivities at finite magnetic field and the Nernst effect

“…to construct black holes dual to helical lattices [24][25][26][27]. All these models yield finite DC conductivities as desired.…”

Susy Q and spatially modulated deformations of ABJM theory

“…Using some results on holographic renormalisation, summarised in appendix A.3, we deduce that the field theory has non-trivial sources for the scalar operators with X s = −4l (2) cos kx = 4kΛ cos kx , Y s = Λ sin kx , and, furthermore, we also deduce the following expectation values…”

“…with the higher order terms determined by M , Λ, and l (2) . For solutions of the BPS equations (3.4) we have the additional constraints…”