Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-12-14
Phys.Lett.B581:125-132,2004
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX2e, elsart.cls, 11 pages, subm. to Physics Letters B
Scientific paper
10.1016/j.physletb.2003.12.008
The 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.
Kulish Petr P.
Zeitlin Anton M.
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