Form factors, KdV and Deformed Hyperelliptic Curves

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1016/S0920-5632(97)00410-6

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.

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