LATTICE CONFORMAL THEORIES AND THEIR INTEGRABLE PERTURBATIONS

Abstract

We consider lattice analogues of some conformal theories, including WZW and Toda models. We describe discrete versions of Drinfeld-Sokolov reduction and Sugawara construction for the WZW model. We formulate perturbation theory in chiral sector. We describe the spaces of Integrals of Motion in the perturbed theories. We interpret the perturbed WZW model in terms of NLS hierarchy and obtain of this model into the lattice KP-hierarchy.

25 pages, Plain LaTeX

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Cited by in corpus (4)

• On some classes of discrete polynomials and ordinary difference equations
• Integrable discretizations for lattice systems: local equations of motion and their Hamiltonian properties
• Renormalization of lattice field theories with infinite-range wavelets
• The matrix realization of affine Jacobi varieties and the extended Lotka-Volterra lattice