Moduli spaces and topological quantum field theories
Abstract
We show how to construct a topological quantum field theory which corresponds to a given moduli space. This method is applied to several cases. In particular we discuss the moduli space of flat gauge connections over a Riemann surface which is related to the phase space of the Chern-Simons theory. The observables of these theories are derived. Geometrical properties are invoked to prove that the global invariants are not trivial.
- Publication:
-
Presented at the 18th International Conference on Differential Geometric Methods in Theoretical Physics: Physics and Geometry
- Pub Date:
- July 1989
- Bibcode:
- 1989dgmt.conf....2S
- Keywords:
-
- Field Theory (Physics);
- Quantum Theory;
- Symmetry;
- Topology;
- Gauge Theory;
- Instantons;
- Riemann Manifold;
- Yang-Mills Fields;
- Thermodynamics and Statistical Physics