Quantum supersymmetric Toda–mKdV hierarchies |
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Authors: | Petr P. Kulish Anton M. Zeitlin |
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Affiliation: | St. Petersburg Department of Steklov Mathematical Institute, Fontanka 27, St. Petersburg 191023, Russia |
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Abstract: | In this paper we generalize the quantization procedure of Toda–mKdV hierarchies to the case of arbitrary affine (super)algebras. The quantum analogue of the monodromy matrix, related to the universal R-matrix with the lower Borel subalgebra represented by the corresponding vertex operators is introduced. The auxiliary L-operators satisfying RTT-relation are constructed and the quantum integrability condition is obtained. General approach is illustrated by means of two important examples. |
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Keywords: | Superconformal field theory Super-KdV Quantum superalgebras Toda field theory |
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