Quantum Supersymmetric Toda-mKdV Hierarchies
High Energy Physics - Theory
2009-11-11 v1 Mathematical Physics
math.MP
Quantum Algebra
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.
Cite
@article{arxiv.hep-th/0506027,
title = {Quantum Supersymmetric Toda-mKdV Hierarchies},
author = {Petr P. Kulish and Anton M. Zeitlin},
journal= {arXiv preprint arXiv:hep-th/0506027},
year = {2009}
}
Comments
LaTeX2e, elsart.cls, 21 pages, Nuclear Physics B, 2005, in press