Chiral anomaly from (anomalous) spin hydrodynamics

TL;DR

This paper explores the connection between spin hydrodynamics and chiral anomalies via holography, linking black brane fluctuations to anomalous currents in supersymmetric gauge theories.

Contribution

It introduces a geometric interpretation of R-current anomalies through gravitational anomalies in a holographic framework involving spinning black branes.

Findings

Holographic duality relates spinning black brane fluctuations to chiral anomalies.

The theory connects spin hydrodynamics with gravitational anomalies in higher dimensions.

Insights into anomalous transport phenomena in supersymmetric gauge theories.

Abstract

We show that the low energy fluctuations of spinning black Dp branes are described by a theory of spin hydrodynamics on a spacetime $\mathbb{M}_{p+1}\times \mathbb{T}^{n+2}$ in which the fluid is flowing on $\mathbb{M}_{p+1}$ and spinning on $\mathbb{T}^{n+2}$. Focusing on the hydrodynamic regime of $\mathcal{N}=4$ 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.