We review and summarize recent works on the relation between form factors in integrable quantum field theory and deformation of geometrical data associated to hyper-elliptic 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.
Nuclear Physics B Proceedings Supplements
- Pub Date:
- September 1997
- High Energy Physics - Theory;
- Mathematics - Quantum Algebra
- 17 pages, LaTeX, for the proceedings of the conference "Advanced Quantum Field Theory (in memory of Claude Itzykson)", Lalonde, France, Sept. 96