R. Tateo, THE SINE-GORDON MODEL AS SO(N)1XSO(N)1 SO(N)2-PERTURBED COSET THEORY AND GENERALIZATIONS/, International journal of modern physics A, 10(9), 1995, pp. 1357-1376
The ground state energies of the SO(2n)1xSO(2n)1/SO(2n)2 coset theorie
s, perturbed by the phi(adj)id,id operator, and those of the sine-Gord
on theory, for special values of the coupling constant in the attracti
ng regime, are the same. In the first part of this paper we extend the
se results to the SO(2n - 1) cases. In the second part, we analyze the
algebraic Bethe ansatz procedure for special points in the repulsive
region. We find a one-to-one ''duality'' correspondence between these
theories and those studied in the first part of the paper. We use the
gluing procedure at the massive node proposed by Fendley and Intriliga
tor in order to obtain the TBA systems for the generalized parafermion
ic supersymmetric sine-Gordon model. In the third part we propose the
TBA equations for the whole class of perturbed coset models G(k)xG(l)/
G(k+l) with the operator phi(adj)id,id and G a nonsimplylaced group ge
nerated by one of the G2, F4, B(n), C(n) algebras.