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We introduce hydrodynamics derived from the action of a perfect fluid deformed by the Novikov multivalued functional generated by combined actions of gauge transformations and spacetime diffeomorphisms. This deformation is structured analogously to the Wess-Zumino functional, commonly used as an effective description of field theories with the chiral anomaly. The deformation affects the continuity equation giving fluid spin degrees of freedom and is consistent with the kinematics of the chiral anomaly.
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P. Wiegmann (2024) studied this question.
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