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Gravitational Yang-Lee model: four-point function. (English. Russian original) Zbl 1117.83328
Theor. Math. Phys. 151, No. 1, 439-458 (2007); translation from Teor. Mat. Fiz. 151, No. 1, 3-25 (2007).
Summary: We find the four-point perturbative contribution to the spherical partition function of the gravitational Yang-Lee model numerically. We propose an effective integration procedure based on a convenient elliptic parameterization of the moduli space. At certain values of the “spectator” parameter, the Liouville four-point function involves several “discrete terms,” which should be taken into account separately. We also consider the classical limit, where only the discrete terms survive. In addition, we propose an explicit expression for the spherical partition function at the “second explicitly solvable point,” where the spectator matter is yet another $$\mathcal M_{2/5}$$ (Yang-Lee) minimal model.

##### MSC:
 83C45 Quantization of the gravitational field 81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
##### Keywords:
quantum gravity; Liouville theory; conformal field theory
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##### References:
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