Quantum Supersymmetric Toda-mKdV Hierarchies

Details Quantum Supersymmetric Toda-mKdV Hierarchies Quantum Supersymmetric Toda-mKdV Hierarchies

2005-06-02

arxiv.org/abs/hep-th/0506027v1

Nucl.Phys. B720 (2005) 289-306

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, elsart.cls, 21 pages, Nuclear Physics B, 2005, in press

Scientific paper

10.1016/j.nuclphysb.2005.06.002

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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