Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9854902 | Nuclear Physics B | 2005 | 18 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Petr P. Kulish, Anton M. Zeitlin,