Quantum supersymmetric Toda–mKdV hierarchies

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 introd...

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Bibliographic Details
Published in:Nuclear physics. B 2005-08, Vol.720 (3), p.289-306
Main Authors: Kulish, Petr P., Zeitlin, Anton M.
Format: Article
Language:English
Subjects:
Quantum superalgebras
Super-KdV
Superconformal field theory
Toda field theory
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Summary: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.
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2005.06.002