English

Form factors, KdV and Deformed Hyperelliptic Curves

High Energy Physics - Theory 2008-11-26 v1 Quantum Algebra q-alg

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 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.

Keywords

Cite

@article{arxiv.hep-th/9612099,
  title  = {Form factors, KdV and Deformed Hyperelliptic Curves},
  author = {O. Babelon and D. Bernard and F. A. Smirnov},
  journal= {arXiv preprint arXiv:hep-th/9612099},
  year   = {2008}
}

Comments

17 pages, LaTeX, for the proceedings of the conference "Advanced Quantum Field Theory (in memory of Claude Itzykson)", Lalonde, France, Sept. 96