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Quantum inverse scattering method and (super)conformal field theory

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We consider the possibility of using the quantum inverse scattering method to study the superconformal field theory and its integrable perturbations. The classical limit of the considered constructions is based on the \( \widehat{osp} \)(1|2) super-KdV hierarchy. We introduce the quantum counterpart of the monodromy matrix corresponding to the linear problem associated with the L-operator and use the explicit form of the irreducible representations of \( \widehat{osp} \)q(1|2) to obtain the “fusion relations” for the transfer matrices (i.e., the traces of the monodromy matrices in different representations).

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Authors and Affiliations

  1. St. Petersburg Department of the Steklov Institute of Mathematics, RAS, St. Petersburg, Russia

    P. P. Kulish

  2. St. Petersburg State University, St. Petersburg, Russia

    A. M. Zeitlin

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  1. P. P. Kulish
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  2. A. M. Zeitlin
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 142, No. 2, pp. 252–264, February, 2005.

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Kulish, P.P., Zeitlin, A.M. Quantum inverse scattering method and (super)conformal field theory. Theor Math Phys 142, 211–221 (2005). https://doi.org/10.1007/s11232-005-0054-5

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