Holographic spin liquids and Lovelock Chern-Simons gravity

Abstract

We explore the role of torsion as source of spin current in strongly interacting conformal fluids using holography. We establish the constitutive relations of the basic hydrodynamic variables, the energy-momentum tensor and the spin current based on the classification of the spin sources in irreducible Lorentz representations. The fluids we consider are assumed to be described by the five dimensional Lovelock-Chern-Simons gravity with independent vielbein and spin connection. We construct a hydrodynamic expansion that involves the stress tensor and the spin current and compute the corresponding one-point functions holographically. As a byproduct we find a class of interesting analytic solutions to the Lovelock-Chern-Simons gravity, including blackholes, by mapping the equations of motion into non-linear algebraic constraints for the sources. We also derive a Lee-Wald entropy formula for these blackholes in Chern-Simons theories with torsion. The blackhole solutions determine the thermodynamic potentials and the hydrodynamic constitutive relations in the corresponding fluid on the boundary. We observe novel spin induced transport in these holographic models: a dynamical version of the Barnett effect where vorticity generates a spin current and anomalous vortical transport transverse to a vector-like spin source.

arXiv comment52 pages

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Cited by in corpus (40)

• Hydrodynamics of spin currents
• Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
• Non-dissipative second-order transport, spin, and pseudo-gauge transformations in hydrodynamics
• Derivation of the nonlocal collision term in the relativistic Boltzmann equation for massive spin-1/2 particles from quantum field theory
• Dissipative Spin Dynamics in Relativistic Matter
• Relativistic second-order dissipative spin hydrodynamics from the method of moments
• Spin tensor and pseudo-gauges: from nuclear collisions to gravitational physics
• Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
• Spin polarization dynamics in the Gubser-expanding background
• Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
• Relativistic second-order spin hydrodynamics: an entropy-current analysis
• Gyrohydrodynamics: Relativistic spinful fluid with strong vorticity
• Canonical and phenomenological formulations of spin hydrodynamics
• Pseudogauge dependence of the spin polarization and of the axial vortical effect
• Pseudo-gauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields
• Spin Polarization Formula for Dirac Fermions at Local Equilibrium
• Stability studies of first order spin-hydrodynamic frameworks
• Spin relaxation rate for heavy quarks in weakly coupled QCD plasma
• Spin polarization dynamics in the non-boost-invariant background
• New Developments in Relativistic Fluid Dynamics with spin
• The causality and stability of relativistic spin-hydrodynamics
• Analytic solutions of relativistic dissipative spin hydrodynamics with radial expansion in Gubser flow
• Boost invariant spin hydrodynamics within the first order in derivative expansion
• Universal Gibbons-Hawking-York term for theories with curvature, torsion and non-metricity
• Cross effects in spin hydrodynamics: A revisit Entropy analysis and statistical operator
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• Emergent Canonical Spin Tensor in the Chiral-Symmetric Hot QCD
• Gibbons-Hawking-York boundary terms and the generalized geometrical trinity of gravity
• Chiral Torsional Effects in Anomalous Fluids in Thermal Equilibrium
• Collective dynamics of polarized spin-half fermions in relativistic heavy-ion collisions
• On Nieh-Yan Transport
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• Holographic Aspects of Even-Dimensional Topological Gravity
• Anisotropic linear waves and breakdown of the momentum expansion in spin magnetohydrodynamics
• A supersymmetric spin current
• Boundary terms, branes and AdS/BCFT in first-order gravity
• Perfect spinfluid: A divergence-type approach
• Thermal response of the Nieh-Yan term
• The role of torsion in holographic conductivity
• Torsional Hall Viscosity of Massive Chern Insulators: Magnetic Field and Momentum Deformations