Gravitational Yang--Lee model: Four-point function
Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 1, pp. 3-25
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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.
Keywords:
quantum gravity, Liouville theory, conformal field theory.
@article{TMF_2007_151_1_a0,
author = {Al. B. Zamolodchikov},
title = {Gravitational {Yang--Lee} model: {Four-point} function},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {3--25},
publisher = {mathdoc},
volume = {151},
number = {1},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2007_151_1_a0/}
}
Al. B. Zamolodchikov. Gravitational Yang--Lee model: Four-point function. Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 1, pp. 3-25. http://geodesic.mathdoc.fr/item/TMF_2007_151_1_a0/