Chiral anomaly from (anomalous) spin hydrodynamics

2025/05/03 by Armas, Jay, Batzios, Giorgos
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2505.01843

Abstract

We show that the low energy fluctuations of spinning black Dp branes are described by a theory of spin hydrodynamics on a spacetime \mathbbM_p+1× \mathbbTⁿ⁺² in which the fluid is flowing on \mathbbM_p+1 and spinning on \mathbbTⁿ⁺². Focusing on the hydrodynamic regime of N=4 supersymmetric Yang-Mills theory, we provide a geometric interpretation of the R-current anomaly in terms of a gravitational anomaly from the ten-dimensional point of view. This follows from the holographic duality between a spinning fluid in ten dimensions and an anomalous chiral fluid in four dimensions. We comment on the relations between the theory of spin hydrodynamics introduced here and other theories of spin hydrodynamics in the context of heavy-ion collisions.

Citations

• An introduction to relativistic spin hydrodynamics
• Spin polarization in relativistic heavy-ion collisions
• Spin polarization in relativistic heavy-ion collisions
• Electromagnetic fields and anomalous transports in heavy-ion collisions—a pedagogical review
• Relativistic distribution function for particles with spin at local thermodynamical equilibrium
• Nonlinear Fluid Dynamics from Gravity
• Axial-Vector Vertex in Spinor Electrodynamics

Related

• Chern-Simons modification of Fluid Mechanics
• Spin hydrodynamics
• The chiral magnetic effect in heavy-ion collisions from event-by-event anomalous hydrodynamics
• Chiral effects: new trends
• Chiral vortices in relativistic hydrodynamics