Abstract
We discuss Chern-Simons gauge theory with an SL(2, R) gauge group on an arbitrary 3-manifold M. The SL(2, R) Chern-Simons action is defined for gauge bundles over M of arbitrary topological type. The geometric quantization of SL(2, R) Chern-Simons theory is discussed and related to the quantization of Teichmüller space. The generalization to Chern-Simons theory with an SL(n, R) gauge group is also considered.
| Original language | English |
|---|---|
| Pages (from-to) | 1-16 |
| Number of pages | 16 |
| Journal | Communications in Mathematical Physics |
| Volume | 145 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 1992 |
ASJC Scopus Subject Areas
- Statistical and Nonlinear Physics
- Mathematical Physics
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