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RESEARCH PRODUCT

The Poisson Bracket Structure of the SL(2, R)/U(1) Gauged WZNW Model with Periodic Boundary Conditions

Gerhard WeigtUwe Müller

subject

PhysicsHigh Energy Physics::TheoryPoisson bracketNonlinear Sciences::Exactly Solvable and Integrable SystemsIntegrable systemUniqueness theorem for Poisson's equationConformal field theoryDifferential equationPoisson manifoldGeneral Physics and AstronomyPeriodic boundary conditionsPoisson algebraMathematical physics

description

The gauged SL(2, R)/U(1) Wess-Zumino-Novikov-Witten (WZNW) model is classically an integrable conformal field theory. A second-order differential equation of the Gelfand-Dikii type defines the Poisson bracket structure of the theory. For periodic boundary conditions zero modes imply non-local Poisson brackets which, nevertheless, can be represented by canonical free fields.

https://doi.org/10.1002/(sici)1521-3978(20001)48:1/3<179::aid-prop179>3.0.co;2-c