Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-05-31
Int.J.Mod.Phys. A10 (1995) 1357-1376
Physics
High Energy Physics
High Energy Physics - Theory
DFTT-20/94, 26 pages, latex file. (A reference and 2 notes added)
Scientific paper
10.1142/S0217751X95000656
The ground state of the $\SO(2n)_{1} \times \SO(2n)_{1} \over \SO(2n)_{2}$ coset theories, perturbed by the $\phi^{id,id}_{adj}$ operator and those of the sine-Gordon theory, for special values of the coupling constant in the attracting regime, is the same. In the first part of this paper we extend these 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 Intriligator in order to obtain the TBA systems for the generalized parafermionic supersymmetric sine-Gordon model. In the third part we propose the TBA equations for the whole class of perturbed coset models $G_k \times G_l \over G_{k+l}$ with the operator $\phi^{id,id}_{adj}$ and $G$ a non-simply-laced group generated by one of the $\G_2,\F_4,\B_n,\C_n$ algebras.
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