CONSERVATION-LAWS AND GEOMETRY OF PERTURBED COSET MODELS

Authors
Citation
I. Bakas, CONSERVATION-LAWS AND GEOMETRY OF PERTURBED COSET MODELS, International journal of modern physics A, 9(19), 1994, pp. 3443-3472
Citations number
64
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
ISSN journal
0217751X
Volume
9
Issue
19
Year of publication
1994
Pages
3443 - 3472
Database
ISI
SICI code
0217-751X(1994)9:19<3443:CAGOPC>2.0.ZU;2-2
Abstract
We present a Lagrangian description of the SU(2)/U(1) coset model pert urbed by its first thermal operator. This is the simplest perturbation that changes sign under Krammers-Wannier duality. The resulting theor y, which is a two-component generalization of the sine-Gordon model, i s then taken in Minkowski space. For negative values of the coupling c onstant g, it is classically equivalent to the O(4) nonlinear sigma mo del reduced in a certain frame. For g > 0, it describes the relativist ic motion of vortices in a constant external field. Viewing the classi cal equations of motion as a zero curvature condition, we obtain recur sive relations for the infinitely many conservation laws by the abelia nization method of gauge connections. The higher spin currents are con structed entirely using an off-critical generalization of the W(infini ty) generators. We give a geometric interpretation to the correspondin g charges in terms of embeddings. Applications to the chirally invaria nt U(2) Gross-Neveu model are also discussed.