CONFORMAL POINTS AND DUALITY OF NON-ABELIAN THIRRING MODELS AND INTERACTING WZNW MODELS

Citation
C. Hull et Oa. Soloviev, CONFORMAL POINTS AND DUALITY OF NON-ABELIAN THIRRING MODELS AND INTERACTING WZNW MODELS, Nuclear physics. B, 459(1-2), 1996, pp. 243-262
Citations number
44
Categorie Soggetti
Physics, Nuclear
Journal title
ISSN journal
05503213
Volume
459
Issue
1-2
Year of publication
1996
Pages
243 - 262
Database
ISI
SICI code
0550-3213(1996)459:1-2<243:CPADON>2.0.ZU;2-5
Abstract
We show that the strong coupling phase of the non-Abelian Thirring mod el is dual to the weak-coupling phase of a system of two WZNW models c oupled to each other through a current-current interaction. This latte r system is integrable and is related to a perturbed conformal field t heory which, in the large \k\ limit, has a non-trivial zero of the per turbation-parameter beta function. The non-Abelian Thirring model redu ces to a free fermion theory plus a topological field theory at this c ritical point, which should therefore be identified with the isoscalar Dashen-Frishman conformal point. The relationship with the Gross-Neve u model is discussed.