Integrable System Constructed out of Two Interacting Superconformal Fields

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dc.creatorPopowicz, Z.
dc.date1997-02-11
dc.date.accessioned2026-07-07T10:58:49Z
dc.date.available2026-07-07T10:58:49Z
dc.descriptionWe describe how it is possible to introduce the interaction between superconformal fields of the same conformal dimensions. In the classical case such construction can be used to the construction of the Hirota - Satsuma equation. We construct supersymmetric Poisson tensor for such fields, which generates a new class of Hamiltonin systems. We found Lax representation for one of equation in this class by supersymmetrization Lax operator responsible for Hirota - Satsuma equation. Interestingly our supersymmetric equation is not reducible to classical Hirota - Satsuma equation. We show that our generalized system is reduced to the one of the supersymmetric KDV equation (a=4) but in this limit integrals of motion are not reduced to integrals of motion of the supersymmetric KdV equation.
dc.description15 pages,latex
dc.identifierhttps://arxiv.org/abs/hep-th/9702090
dc.identifierhttp://arxiv.org/abs/hep-th/9702090
dc.identifierJ.Phys.A30:7935-7944,1997
dc.identifierdoi:10.1088/0305-4470/30/22/027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187240
dc.subjectHigh Energy Physics - Theory
dc.titleIntegrable System Constructed out of Two Interacting Superconformal Fields
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