1993/01/11 by Camillo Imbimbo, C. Imbimbo, Imbimbo, C.
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #hep-th #math.QA
paper · pdf · doi:10.48550/arxiv.hep-th/9301031
17 pages
arxiv created 1993/01/11 · arxiv updated 2009/11/30
We consider the quantum-mechanical algebra of observables generated by canonical quantization of SL(2,R) Chern-Simons theory with rational charge on a space manifold with torus topology. We produce modular representations generalizing the representations associated to the SU(2) WZW models and we exhibit the explicit polynomial representations of the corresponding fusion algebras. The relation to Kac-Wakimoto characters of highest weight \widehatsl(2) representations with rational level is illustrated. Talk given at the Como Conference on ``Integrable Quantum Field Theories'', September 1992.