Quantum Supersymmetric Toda-mKdV Hierarchies
arXiv:hep-th/0506027 · doi:10.1016/j.nuclphysb.2005.06.002
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.
arXiv commentLaTeX2e, elsart.cls, 21 pages, Nuclear Physics B, 2005, in press
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- Bosonization of Supersymmetric KdV equation
- Supersymmetric BKP systems and their symmetries
- Quantization of the N=2 Supersymmetric KdV Hierarchy
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