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Conformal field theories in $d=4$ with a helical twist

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arxiv 1412.3446 v2 pith:IXY2Q54S submitted 2014-12-10 hep-th

classification hep-th
keywords alongaxisblackconductivityconformaldeformationfieldfinite
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abstract

Within the context of holography we study the general class of $d=4$ conformal field theories 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 $D=5$ metric. At $T=0$ we show that they flow in the IR to exactly the same CFT. The deformation gives rise to a finite, non-zero 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.

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    A backreacted holographic model of an anisotropic Dirac semimetal gives η/s below the KSS bound in the quantum critical region, with low-temperature scaling η/s ~ T^0.56 tied to a Lifshitz dynamical exponent z ≈ 1.9.

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