Quantization of N=1 and N=2 SUSY KdV models
High Energy Physics - Theory
2007-05-23 v1 Mathematical Physics
math.MP
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.hep-th/0601019,
title = {Quantization of N=1 and N=2 SUSY KdV models},
author = {Petr P. Kulish and Anton M. Zeitlin},
journal= {arXiv preprint arXiv:hep-th/0601019},
year = {2007}
}
Comments
LaTeX2e, 20 pages, in Problems of Mathematical Physics and Applied Mathematics, Ioffe Physical-Technical Institute, St. Petersburg, 2006, pp. 80-100; N=2 case is based on Quantization of N=2 supersymmetric KdV Hierarchy, Theor. Math. Phys., in press, 2006