Geodesic
Space of local fields in integrable field theory and deformed abelian differentials
Documenta mathematica, ICM Berlin 1998, Vol. III (1998), pp. 183-192.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 35Q53, 81T40, 46N50, 83C47
Keywords: space of local operators, conformal field theory, restricted sine-Gordon model, hyper-elliptic integrals 
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     author = {Smirnov, Feodor A.},
     title = {Space of local fields in integrable field theory and deformed abelian differentials},
     journal = {Documenta mathematica},
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     volume = {ICM Berlin 1998, Vol. III},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_1998__S9__a59/}
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Smirnov, Feodor A. Space of local fields in integrable field theory and deformed abelian differentials. Documenta mathematica, ICM Berlin 1998, Vol. III (1998), pp. 183-192. http://geodesic.mathdoc.fr/item/DOCMA_1998__S9__a59/