Supersymmetric Polytropic Gas Dynamics

dc.creatorDas, Ashok
dc.creatorPopowicz, Ziemowit
dc.date2001-09-28
dc.date2001-09-28
dc.date.accessioned2026-07-07T11:31:55Z
dc.date.available2026-07-07T11:31:55Z
dc.descriptionWe construct the N=1 supersymmetric extension of the polytropic gas dynamics. We give both the Lagrangian as well as the Hamiltonian description of this system. We construct the infinite set of "Eulerian'' conserved charges associated with this system and show that they are in involution, thereby proving complete integrability of this system. We construct the SUSY -B extension of this system as well and comment on the similarities and differences between this system and an earlier construction of the supersymmetric Chaplygin gas. We also derive the N=1 supersymmetric extension of the elastic medium equations, which, however, do not appear to be integrable.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0109223
dc.identifierhttp://arxiv.org/abs/hep-th/0109223
dc.identifierPhys.Lett.A296:15-26,2002
dc.identifierdoi:10.1016/S0375-9601(02)00145-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197431
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleSupersymmetric Polytropic Gas Dynamics
dc.typetext

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