Form factors, KdV and Deformed Hyperelliptic Curves
Abstract
We review and summarize recent works on the relation between form factors in integrable quantum field theory and deformation of geometrical data associated to hyperelliptic curves. This relation, which is based on a deformation of the Riemann bilinear identity, in particular leads to the notion of null vectors in integrable field theory and to a new description of the KdV hierarchy.
 Publication:

Nuclear Physics B Proceedings Supplements
 Pub Date:
 September 1997
 DOI:
 10.1016/S09205632(97)004106
 arXiv:
 arXiv:hepth/9612099
 Bibcode:
 1997NuPhS..58...21B
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Quantum Algebra
 EPrint:
 17 pages, LaTeX, for the proceedings of the conference "Advanced Quantum Field Theory (in memory of Claude Itzykson)", Lalonde, France, Sept. 96