Supersymmetric fluid mechanics

R. Jackiw and A. P. Polychronakos
Phys. Rev. D 62, 085019 – Published 27 September 2000
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Abstract

When anticommuting Grassmann variables are introduced into a fluid dynamical model with irrotational velocity and no vorticity, the velocity acquires a nonvanishing curl and the resultant vorticity is described by Gaussian potentials formed from the Grassmann variables. Upon adding a further specific interaction with the Grassmann degrees of freedom, the model becomes supersymmetric.

  • Received 12 April 2000

DOI:https://doi.org/10.1103/PhysRevD.62.085019

©2000 American Physical Society

Authors & Affiliations

R. Jackiw

  • Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139–4307

A. P. Polychronakos

  • Institute of Theoretical Physics, Uppsala University, S-75108 Uppsala, Sweden
  • Physics Department, University of Ioannina, 45110 Ioannina, Greece

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Vol. 62, Iss. 8 — 15 October 2000

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