# Topological Terms and Diffeomorphism Anomalies in Fluid Dynamics and Sigma Models

## Abstract

The requirement of diffeomorphism symmetry for the target space can lead to anomalous commutators for the energy-momentum tensor for sigma models and for fluid dynamics, if certain topological terms are added to the action. We analyze several examples . A particular topological term is shown to lead to the known effective hydrodynamics of a dense collection of vortices, i.e. the vortex fluid theory in 2+1 dimensions. The possibility of a similar vortex fluid in 3+1 dimensions, as well as a fluid of knots and links, with possible extended diffeomorphism algebras is also discussed.Comment: 23 page

## Full text

arXiv.org e-Print ArchiveProvided a free PDF (195.62 KB)

2008.11260oai:arXiv.org:2008.11260
Last time updated on September 5, 2020View original full text link

This paper was published in arXiv.org e-Print Archive.

# Having an issue?

Is data on this page outdated, violates copyrights or anything else? Report the problem now and we will take corresponding actions after reviewing your request.