By M. Jimbo, T. Miwa, A. Tsuchiya

Chosen papers provided at symposia on the learn Institute for Mathematical Sciences in Kyoto and at Kyuzeso in Katata in October 1988. Annotation copyright booklet information, Inc. Portland, Or

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Thus triplets of excitations do not change the Z$ charge. 1) lim πΐρ/Λ/ > 0. We first must determine the equation for the vt. 1) of 2Ρ +ρ ο'ω * ' Chiral Potts Model 29 1=1 m (4-2) + (ic - i)" { t _ Ι ^ Ρ . 4) (έ\±*γΤ = _ Ω- ( Ρ . + Λ ) TT(ütZ^). 36) where now t h e it are t h e real roots of the polynomial p(t) = t - ( p . 6) £? = 0 , P 6 = 0, 2Ρα-Λ/ = 0, mod3 G. Albertini, Μ. H. Perk 30 where linear t e r m = 0 for λί ΞΞ 0 m o d 3 -2(1 + λ ) for λί ΞΞ 1 mod 3 - ( l + λ) for λί ΞΞ 2 m o d 3. 9) EU{P, X, mp) - E°U(X; 0) = - 3 ( m B - m%)\l - X\ 1/2 2πι Jcn [ dt ) Po{t) 1- i 3 j = 2 r a p | l - λ| 1±λ ,2 / 3 4A d,_,P(t),, π Ji = 2mp|l-A| + 3 _L V /*ΐι-λΙ * !

19), the RHS is in the form jj, so it must be understood as lim fq,Rq>. 5) %P = e~ ' 2 + {(fp9qfq,p)*^j>,Ä / M {fp,RqfRq,p) Tp,q q 33 2 \ λ fp,RS q/ß3g,p/p,ß4q f RAq^p where only fPyqfq,P need to be computed, the other coefficients being obtained applying t h e automorphism R to the q variables. 6) s , (k, t) = Σ w; (k - i)wi (i p q tq P -1) G. Albertini, Μ. H. Perk 42 and specialize ( A . l ) to t h e case r = q. 18). 8) = /p,g/ g ,p

18). 8) = /p,g/ g ,p