New Modular Representations and Fusion Algebras from Quantized SL(2,R) Chern-Simons Theories

  • Camillo Imbimbo
Part of the NATO ASI Series book series (NSSB, volume 310)

Abstract

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 \( \widehat{sl}\left( 2 \right) \)(2) representations with rational level is illustrated.

Keywords

Manifold 

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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Camillo Imbimbo
    • 1
  1. 1.Sezione di GenovaI.N.F.N.GenovaItaly

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