Correlation functions in Liouville theory

Details Correlation functions in Liouville theory Correlation functions in Liouville theory

Apr 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phrvl..66.2051g&link_type=abstract

Physical Review Letters, Volume 66, Issue 16, April 22, 1991, pp.2051-2055

Physics

158

Scientific paper

We show that after integrating over the zero mode in Liouville correlation functions, the remaining functional integral resembles a free theory and may be evaluated by formally continuing the central charge. We apply this technique to the unitary minimal models coupled to gravity on the sphere, computing a number of three-point functions. After taking into account the normalizations of operators and the functional integral, we find exact agreement between the Liouville three-point functions and the results from matrix models.

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