Causal Poisson brackets of the WZNW model and its coset theories
نویسندگان
چکیده
منابع مشابه
Causal Poisson Brackets of the SL(2,R) WZNW Model and its Coset Theories
From the basic chiral and anti-chiral Poisson bracket algebra of the SL(2, R) WZNW model, non-equal time Poisson brackets are derived. Through Hamiltonian reduction we deduce the corresponding brackets for its coset theories. The analysis of WZNWmodels is usually reduced to a separate treatment of its chiral or anti-chiral components [1, 2, 3]. But much simpler results can arise when the contri...
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Operator quantization of constrained WZNW theories and coset constructions. Abstract Using two WZNW theories for Lie algebras g and h, h ⊂ g, we construct the associative quotient algebra which includes a class of g/h coset primary fields and currents. 1. In a recent article [1] for generic g/h coset conformal field theory [2] a class of Virasoro primary fields and currents was constructed.They...
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Operator quantization of the WZNW theory for Lie algebra g with constrained affine Lie algebrâ h, h ⊂ g, is performed.The extended phase space and effective first class constraints are constructed which determine a class of g/h coset primary fields and currents. In a recent article [1] for generic g/h coset conformal field theory [2, 3] a class of Virasoro currents and primary fields was constr...
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The precise relationship between the arbitrary monodromy dependent 2-form appearing in the chiral WZNW symplectic form and the ‘exchange r-matrix’ that governs the corresponding Poisson brackets is established. Generalizing earlier results related to diagonal monodromy, the exchange r-matrices are shown to satisfy a new dynamical generalization of the classical modified Yang-Baxter equation, wh...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2001
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(01)00806-1