Liouville theory revisited

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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78 pages, uses bourbaki.cls; some remarks in sec. 9 altered, minor corrs

Scientific paper

10.1088/0264-9381/18/23/201

We try to develop a coherent picture on Liouville theory as a two-dimensional conformal field theory that takes into account the perspectives of path-integral approach, bootstrap, canonical quantization and operator approach. To do this, we need to develop further some of these approaches. This includes in particular a construction of general exponential field operators from a set of covariant chiral operators. The latter are shown to satisfy braid relations that allow one to prove the locality of the former.

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