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Main Authors: Armas, Jay, Batzios, Giorgos
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2505.01843
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author Armas, Jay
Batzios, Giorgos
author_facet Armas, Jay
Batzios, Giorgos
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2505_01843
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Chiral anomaly from (anomalous) spin hydrodynamics
Armas, Jay
Batzios, Giorgos
High Energy Physics - Theory
High Energy Physics - Phenomenology
Nuclear Theory
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.
title Chiral anomaly from (anomalous) spin hydrodynamics
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2505.01843