Generation of Integrable Quantum Nonultralocal Model through Braided YangBaxter Equation
Abstract
Formulating quantum integrability for nonultralocal models (NM) parallel to the familiar approach of inverse scattering method is a long standing problem. After reviewing our result regarding algebraic structures of ultralocal models, we look for the algebra underlying NM. We propose an universal equation represented by braided YangBaxter equation and able to derive all basic equations of the known models like WZWN model, nonabelian Toda chain, quantum mapping etc. As further useful application we discover new integrable quantum NM, e.g. mKdV model, anyonic model, KunduEckhaus equation and derive SUSY models and reflection equation from the nonultralocal view point.
 Publication:

arXiv eprints
 Pub Date:
 July 1996
 DOI:
 10.48550/arXiv.hepth/9607142
 arXiv:
 arXiv:hepth/9607142
 Bibcode:
 1996hep.th....7142K
 Keywords:

 High Energy Physics  Theory
 EPrint:
 6 pages, latex, no figures, invited talk at the Int. Conf. on Problems in QFT ( Alushta, May 1318, 1996), to appear in the proceedings