Novel Parity Violating Transport Coefficients in 2+1 Dimensions from Holography

Abstract

We construct a 3+1 dimensional holographic model dual to a parity violating hydrodynamic system in 2+1 dimensions. Our model contains gravitational and electrodynamic Chern-Simons terms coupled to a neutral pseudo scalar $\theta$, and a potential composed of quadratic and quartic terms in $\theta$. The background is a charged black brane. We study the hydrodynamics to first order in spacetime derivatives near the probe limit of the pseudo scalar, by extracting the transport coefficients from the scalar, vector, and tensor modes of bulk perturbations. We study two mechanisms for breaking the parity of the boundary fluid: the parity is either spontaneously broken by the nonzero vev of the dual pseudo scalar operator, or by the pseudo scalar source on the boundary. The resulting transport coefficients have unusual behaviors compared to those in ordinary materials.

Latex, 1+34 pages, 13 figures. v2 typos corrected, 4 references added, a paragraph discussing ref [37] added in Section 5. v3 to match the published version

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• Odd Parity Transport In Non-Abelian Superfluids From Symmetry Locking
• Horava-Lifshitz Gravity and Effective Theory of the Fractional Quantum Hall Effect
• Comments on Hall transport from effective actions
• Ward Identities for Hall Transport
• Parity violating quantum kinetic theory in (2+1)-dimensions
• Hall Viscosity and Angular Momentum in Gapless Holographic Models
• Holographic parity violating charged fluid dual to Chern-Simons modified gravity
• Membrane Paradigm, Gravitational $\Theta$-Term and Gauge/Gravity Duality
• Angular Momentum Generation by Parity Violation
• Angular Momentum Generation from Holographic Chern-Simons Models
• Hall viscosity to entropy ratio in higher derivative theories