Conformal, Integrable and Topological Theories, Graphs and Coxeter Groups

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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21 pages, uuencoded, tex, 5 figures included, uses harvmac and epsf (Talk delivered at the International Conference of Mathema

Scientific paper

I review three different problems occuring in two dimensional field theory:
1) classification of conformal field theories; 2) construction of lattice
integrable realizations of the latter; 3) solutions to the WDVV equations of
topological field theories. I show that a structure of Coxeter group is hidden
behind these three related problems.

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