LATTICE CONFORMAL THEORIES AND THEIR INTEGRABLE PERTURBATIONS

Citation
A. Antonov et al., LATTICE CONFORMAL THEORIES AND THEIR INTEGRABLE PERTURBATIONS, Journal of geometry and physics, 22(4), 1997, pp. 298-318
Citations number
48
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
ISSN journal
03930440
Volume
22
Issue
4
Year of publication
1997
Pages
298 - 318
Database
ISI
SICI code
0393-0440(1997)22:4<298:LCTATI>2.0.ZU;2-C
Abstract
We study the lattice analogues of the Wess-Zumino-Witten (WZW) and Tod a conformal field theories. We describe discrete versions of the Drinf el'd-Sokolov reduction and the Sugawara construction for the WZW model , and show how to formulate a perturbation theory in the chiral sector , We describe the spaces of integrals of motion of the perturbed theor ies. We interpret the perturbed WZW model in terms of NLS hierarchy an d obtain an embedding of this model into the lattice KP hierarchy.