A Holographic Model For Hall Viscosity

Abstract

We have modified the holographic model of Saremi and Son by using a charged black brane, instead of a neutral one, such that when the bulk pseudo scalar potential is made of quadratic and quartic terms, parity can still be broken spontaneously in the boundary theory. In our model, the 3+1 dimensional bulk has a pseudo scalar coupled to the gravitational Chern-Simons term in the anti de Sitter charged black brane back ground. Parity could be broken spontaneously in the bulk by the pseudo scalar hairy solution and give rise to non-zero Hall viscosity at the boundary theory.

15 pages, 4 figures

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Cited by in corpus (24)

• Parity-Violating Hydrodynamics in 2+1 Dimensions
• Geometry of Fractional Quantum Hall Fluids
• Hall viscosity, topological states and effective theories
• Incompressible Navier-Stokes Equations from Einstein Gravity with Chern-Simons Term
• Holographic DC conductivity and Onsager relations
• Spontaneous Generation of Angular Momentum in Holographic Theories
• Viscoelastic-electromagnetism and Hall viscosity
• Holographic Spontaneous Parity Breaking and Emergent Hall Viscosity and Angular Momentum
• Odd Parity Transport In Non-Abelian Superfluids From Symmetry Locking
• Novel Parity Violating Transport Coefficients in 2+1 Dimensions from Holography
• Horava-Lifshitz Gravity and Effective Theory of the Fractional Quantum Hall Effect
• Comments on Hall transport from effective actions
• Ward Identities for Hall Transport
• Phase transitions of black strings in dynamical Chern-Simons modified gravity
• Parity violating quantum kinetic theory in (2+1)-dimensions
• Hall Viscosity and Angular Momentum in Gapless Holographic Models
• Hall viscosity in the A-phase of superfluid ${}^3$He
• 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
• Viscosity of holographic fluid in the presence of dark matter sector
• Angular Momentum Generation from Holographic Chern-Simons Models
• Gravity/Fluid Correspondence and Its Application on Bulk Gravity with $U(1)$ Gauge Field
• Hall viscosity to entropy ratio in higher derivative theories