Gravitational Yang-Lee Model. Four Point Function

Details Gravitational Yang-Lee Model. Four Point Function Gravitational Yang-Lee Model. Four Point Function

2006-04-22

arxiv.org/abs/hep-th/0604158v1

Theor.Math.Phys.151:439-458,2007

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1007/s11232-007-0033-0

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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