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

Petr P. Kulish; Anton M. Zeitlin

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arXiv · hep-th/0601019

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

Petr P. Kulish·Anton M. Zeitlin

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Abstract

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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BibTeX RIS

Petr P. Kulish, Anton M. Zeitlin. 2006-01-03. Quantization of N=1 and N=2 SUSY KdV models. https://arxiv.org/abs/hep-th/0601019

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