Title: Space of Local Fields in Integrable Field Theory and Deformed Abelian Differentials

In this talk I consider the space of local operators in integrable field theory. This space allows two different descriptions. The first of them is due to conformal field theory which provides a universal picture of local properties in quantum field theory. The second arises from counting solutions to form factors equations. Considering the example of the restricted Sine-Gordon model I show that these two very different descriptions give the same result. I explain that the formulae for the form factors are given in terms of deformed hyper-elliptic integrals. The properties of these integrals, in particular the deformed Riemann bilinear relation, are important for describing the space of local operators.

1991 Mathematics Subject Classification:

Keywords and Phrases:

Full text: dvi.gz 20 k, dvi 48 k, ps.gz 64 k.

Home Page of DOCUMENTA MATHEMATICA