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BELAVIN Vladimir
Fonction : Invite
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Vladimir.BELAVIN
lpta.univ-montp2.fr
0467143438
Bureau: 49 - Site : Campus Triolet
Domaines de Recherche: - Physique/Physique mathématique
- Physique/Physique Quantique
- Physique/Physique des Hautes Energies - Théorie
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Productions scientifiques :
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Modular Integrals in Minimal Super Liouville Gravity 
Auteur(s): Belavin V.
(Article) Publié:
Theoretical and Mathematical Physics, vol. 161 p.1361-1375 (2009)
Ref HAL: hal-00364247_v1
DOI: 10.1007/s11232-009-0122-3
Résumé: The four-point integral of the minimal super Liouville gravity on the sphere is evaluated numerically. The integration procedure is based on the effective elliptic parameterization of the moduli space. The analysis is performed 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.
Commentaires: arXiv:0902.4407 Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 161, No. 1, pp. 46–62, October, 2009
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Four-point Function in Super Liouville Gravity
Auteur(s): Belavin A., Belavin V.
(Article) Publié:
Journal of Physics A: Mathematical and Theoretical, vol. 42 p.304003 (2009)
Ref HAL: hal-00364710_v1
Ref Arxiv: 0810.1023
DOI: 10.1088/1751-8113/42/30/304003
Résumé: We consider the 2D super Liouville gravity coupled to the minimalsuperconformal theory. We analyze the physical states in the theory and givethe general form of the n-point correlation numbers on the sphere in terms ofintegrals over the moduli space. The three-point correlation numbers arepresented explicitly. For the four-point correlators, we show that the integralover the moduli space reduces to the boundary terms if one of the fields isdegenerate. It turns out that special logarithmic fields are relevant forevaluating these boundary terms. We discuss the construction of these fieldsand study their operator product expansions. This analysis allows evaluatingthe four-point correlation numbers. The derivation is analogous to the one inthe bosonic case and is based on the recently derived higher equations ofmotion of the super Liouville field theory.
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