Quantization of N=1 and N=2 SUSY KdV models

Details Quantization of N=1 and N=2 SUSY KdV models Quantization of N=1 and N=2 SUSY KdV models

2006-01-03

arxiv.org/abs/hep-th/0601019v1

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 20 pages, in Problems of Mathematical Physics and Applied Mathematics, Ioffe Physical-Technical Institute, St. Peters

Scientific paper

The quantization procedure for both N=1 and N=2 supersymmetric Korteweg-de Vries (SUSY KdV) hierarchies is constructed. Namely, the quantum counterparts of the monodromy matrices, built by means of the integrated vertex operators, are shown to satisfy a specialization of reflection equation, leading to the quantum integrable theory. The relation of such models to the study of integrable perturbed superconformal and topological models is discussed.

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