Quantum Liouville Theory from a Diffeomorphism Chern-Simons Action

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Minor typo corrected

Scientific paper

10.1142/S021773239500288X

A Chern-Simons action written with Christoffel Symbols has a natural gauge
symmetry of diffeomorphisms. This Chern-Simons action will induce a
Wess-Zumio-Witten model on the boundary of the manifold. If we restrict the
diffeomorphisms to chiral diffeomorphism, the Wess-Zumio-Witten model is
equivalent to a quantum Liouville action.

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