0000000000858233

AUTHOR

Uwe Müller

0000-0003-1836-2088

showing 2 related works from this author

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

2000

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.

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 physicsFortschritte der Physik
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The Complete Solution of the Classical SL(2,ℝ/U(1) Gauged WZNW Field Theory

1998

We prove that any gauged WZNW model has a Lax pair representation, and give explicitly the general solution of the classical equations of motion of the SL(2,R)/U(1) theory. We calculate the symplectic structure of this solution by solving a differential equation of the Gelfand-Dikii type with initial state conditions at infinity, and transform the canonical physical fields non-locally onto canonical free fields. The results will, finally, be collected in a local B\"acklund transformation. These calculations prepare the theory for an exact canonical quantization.

High Energy Physics - TheoryDifferential equationCanonical quantizationFOS: Physical sciencesEquations of motionStatistical and Nonlinear PhysicsState (functional analysis)Type (model theory)Nonlinear Sciences::Exactly Solvable and Integrable SystemsHigh Energy Physics - Theory (hep-th)Lax pairField theory (psychology)Mathematical PhysicsSymplectic geometryMathematical physicsMathematicsCommunications in Mathematical Physics
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