Communications in Mathematical Physics

, Volume 145, Issue 1, pp 1–16 | Cite as

Quantization ofSL(2,R) Chern-Simons theory

  • T. P. Killingback


We discuss Chern-Simons gauge theory with anSL(2,R) gauge group on an arbitrary 3-manifoldM. TheSL(2,R) Chern-Simons action is defined for gauge bundles overM of arbitrary topological type. The geometric quantization ofSL(2,R) Chern-Simons theory is discussed and related to the quantization of Teichmüller space. The generalization to Chern-Simons theory with anSL(n,R) gauge group is also considered.


Neural Network Statistical Physic Complex System Gauge Theory Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • T. P. Killingback
    • 1
  1. 1.Theory DivisionCERNGeneva 23Switzerland

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