Consistently Constrained SL(N) WZWN Models and Classical Exchange Algebra

Abstract

Currents of the SL(N) WZWN model are constrained so that the remaining symmetry is a symmetry of constrained currents as well. Such consistency enables us to study the Poisson structure of constrained SL(N) WZWN models properly. We establish the Poisson brackets which satisfy the Jacobi identities owing to the classical Yang-Baxter equation. The Virasoro algebra is shown by using them. An SL(N) conformal primary is constructed. It satisfies a quadratic algebra, which might become an exchange algebra by its quantum deformation.

26 pages, v3: matches published version, v2: typos corrected

References in corpus (3)

• The WZNW model on PSU(1,1|2)
• Branes in the GL(1|1) WZNW-Model
• The Berkovits Method for Conformally Invariant Non-linear Sigma-models on G/H

Cited by in corpus (3)

• Spin-chain with PSU(2|2)xU(1)^3 and Non-linear Sigma-model with D(2,1;gamma)
• Killing scalar of non-linear sigma models on G/H realizing the classical exchange algebra
• Constrained WZWN Models on G/{S x U(1)^n} and Exchange Algebra of G-Primaries