Integrable Structure of Superconformal Field Theory and Quantum super-KdV Theory

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dc.creatorKulish, Petr P.
dc.creatorZeitlin, Anton M.
dc.date2003-12-14
dc.date.accessioned2026-07-07T12:45:11Z
dc.date.available2026-07-07T12:45:11Z
dc.descriptionThe integrable structure of the two dimensional superconformal field theory is considered. The classical counterpart of our constructions is based on the $\hat{osp}(1|2)$ super-KdV hierarchy. The quantum version of the monodromy matrix associated with the linear problem for the corresponding L-operator is introduced. Using the explicit form of the irreducible representations of $\hat{osp}_q(1|2)$, the so-called "fusion relations" for the transfer matrices considered in different representations of $\hat{osp}_q(1|2)$ are obtained. The possible integrable perturbations of the model (primary operators, commuting with integrals of motion) are classified and the relation with the supersymmetric $\hat{osp}(1|2)$ Toda field theory is discussed.
dc.descriptionLaTeX2e, elsart.cls, 11 pages, subm. to Physics Letters B
dc.identifierhttps://arxiv.org/abs/hep-th/0312159
dc.identifierhttp://arxiv.org/abs/hep-th/0312159
dc.identifierPhys.Lett.B581:125-132,2004
dc.identifierdoi:10.1016/j.physletb.2003.12.008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221010
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.subjectExactly Solvable and Integrable Systems
dc.titleIntegrable Structure of Superconformal Field Theory and Quantum super-KdV Theory
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