Superconformal Field Theory and SUSY N=1 KdV Hierarchy I: Vertex Operators and Yang-Baxter Equation

Anton M. Zeitlin; Petr P. Kulish

arxiv: hep-th/0407154 · v1 · submitted 2004-07-17 · ✦ hep-th · math.QA· nlin.SI

Superconformal Field Theory and SUSY N=1 KdV Hierarchy I: Vertex Operators and Yang-Baxter Equation

Petr P. Kulish , Anton M. Zeitlin This is my paper

classification ✦ hep-th math.QAnlin.SI

keywords quantumsuperconformalsusyfamilyfieldhierarchytheoryvertex

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The supersymmetry invariant integrable structure of two-dimensional superconformal field theory is considered. The classical limit of the corresponding infinite family of integrals of motion (IM) coincide with the family of IM of SUSY N=1 KdV hierarchy. The quantum version of the monodromy matrix, generating quantum IM, associated with the SUSY N=1 KdV is constructed via vertex operator representation of the quantum R-matrix. The possible applications to the perturbed superconformal models are discussed.

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