Integrable structure of superconformal field theory and quantum super-KdV theory

The integrable structure of the two-dimensional superconformal field theory is considered. The classical counterpart of our constructions is based on the osp(1|2) super-KdV hierarchy. The quantum version of the monodromy matrix associated with the linear problem for the corresponding L-operator is i...

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Bibliographic Details
Published in:Physics letters. B 2004-02, Vol.581 (1-2), p.125-132
Main Authors: Kulish, Petr P, Zeitlin, Anton M
Format: Article
Language:English
Subjects:
Quantum superalgebras
Super-KdV
Superconformal field theory
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Summary:The integrable structure of the two-dimensional superconformal field theory is considered. The classical counterpart of our constructions is based on the 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 ospq(1|2), the so-called “fusion relations” for the transfer matrices considered in different representations of ospq(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 osp(1|2) Toda field theory is discussed.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2003.12.008