Geodesic
Modular integrals in minimal super Liouville gravity
Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 1, pp. 46-62

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We evaluate the four-point integral of the minimal super Liouville gravity on the sphere numerically. The integration procedure is based on the effective elliptic parameterization of the moduli space. We perform the analysis for a few different gravitational four-point amplitudes. The results agree with the analytic results recently obtained using the higher super Liouville equations of motion.
Keywords: super conformal field theory, superstring, two-dimensional super Liouville gravity. 
@article{TMF_2009_161_1_a3,
     author = {V. A. Belavin},
     title = {Modular integrals in minimal super {Liouville} gravity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {46--62},
     publisher = {mathdoc},
     volume = {161},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_161_1_a3/}
}
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V. A. Belavin. Modular integrals in minimal super Liouville gravity. Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 1, pp. 46-62. http://geodesic.mathdoc.fr/item/TMF_2009_161_1_a3/