Vortex solutions of the Liouville equation

dc.creatorHorváthy, P. A.
dc.creatorYéra, J. -C.
dc.date1998-05-25
dc.date.accessioned2026-07-07T04:24:37Z
dc.date.available2026-07-07T04:24:37Z
dc.descriptionThe most general vortex solution of the Liouville equation (which arises in non-relativistic Chern-Simons theory) is associated with rational functions, $f(z)=P(z)/Q(z)$ where $P(z)$ and $Q(z)$ are both polynomials, $°P<°Q\equiv N$. This allows us to prove that the solution depends on $4N$ parameters without the use of an index theorem, as well as the flux quantization~: $Φ=-4Nπ(sign κ)$.
dc.description11 pages, Plain Tex, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/9805161
dc.identifierhttp://arxiv.org/abs/hep-th/9805161
dc.identifierLett.Math.Phys. 46 (1998) 111-120
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/55480
dc.subjectHigh Energy Physics - Theory
dc.titleVortex solutions of the Liouville equation
dc.typetext

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