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On the Three-point Function in Minimal Liouville Gravity

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arxiv hep-th/0505063 v1 pith:RNZCJBYA submitted 2005-05-06 hep-th

On the Three-point Function in Minimal Liouville Gravity

classification hep-th
keywords liouvillegravityminimalconstantsfieldformstructuretheory
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The problem of the structure constants of the operator product expansions in the minimal models of conformal field theory is revisited. We rederive these previously known constants and present them in the form particularly useful in the Liouville gravity applications. Analytic relation between our expression and the structure constant in Liouville field theory is discussed. Finally we present in general form the three- and two-point correlation numbers on the sphere in the minimal Liouville gravity.

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Cited by 5 Pith papers

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  3. Quantum Liouville Cosmology

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    Disk path integrals of timelike Liouville theory yield one-loop Hartle-Hawking-like wavefunctions in a fixed extrinsic-curvature representation, with a conjectured all-loop form and a K-independent pairing that may de...

  5. Timelike Liouville theory and AdS$_3$ gravity at finite cutoff

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