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Quantum Supersymmetric Toda-mKdV Hierarchies

Petr P. Kulish·Anton M. Zeitlin
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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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BibTeXRIS

Petr P. Kulish, Anton M. Zeitlin. 2005-06-02. Quantum Supersymmetric Toda-mKdV Hierarchies. https://doi.org/10.1016/j.nuclphysb.2005.06.002

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