# Gravitational Yang-Lee Model. Four Point Function

Abstract : The four-point perturbative contribution to the spherical partition function of the gravitational Yang-Lee model is evaluated numerically. An effective integration procedure is due to a convenient elliptic parameterization of the moduli space. At certain values of the spectator'' parameter the Liouville four-point function involves a number of discrete terms'' which have to be taken into account separately. The classical limit, where only discrete terms contribute, is also discussed. In addition, we conjecture an explicit expression for this partition function at the second solvable point'' where the spectator matter is in fact another $M_{2/5}$ (Yang-Lee) minimal model.
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Journal articles

http://hal.in2p3.fr/in2p3-00125011
Contributor : Dominique Girod <>
Submitted on : Wednesday, January 17, 2007 - 1:35:07 PM
Last modification on : Tuesday, November 19, 2019 - 9:08:02 PM

### Citation

A. Zamolodchikov. Gravitational Yang-Lee Model. Four Point Function. Theoretical and Mathematical Physics, Consultants bureau, 2007, 151/1, pp.439-458. ⟨10.1007/s11232-007-0033-0⟩. ⟨in2p3-00125011⟩

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