Abstract
A Berezinksii-Kosterlitz-Thouless phase transition in systems with the exceptional symmetry groups G=E 6,7,8, G 2, and F 2 is studied. The critical exponents and the exponents of the logarithmic corrections to the correlation functions at the transition point are found by the renormalization-group method. It is shown that for G=A, D, and E the critical exponents can be expressed in terms of the Coxeter numbers h G (or the values of the Casimir operator in the adjoint representation K 2 G ).
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