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Fuchsian systems for Dotsenko-Fateev multipoint correlation functions and similar integrals of hypergeometric type
- Publication Year :
- 2016
-
Abstract
- The Dotsenko-Fateev integral is an analytic function of one complex variable expressing the amplitude in the 4-point correlator of the 2D conformal field theory. Dotsenko-Fateev found ODE of third order with Fuchsian singularities satisfied by their integral. In the present paper, this work is extended to generalized Dotsenko-Fateev integrals, in particular those associated to arbitrary multipoint correlators, and Pfaff systems of PDE of Fuchsian type are constructed for them. The ubiquity of the Fuchsian systems is in that they permit to obtain local expansions of solutions in the neighborhoods of singularities of the system.
- Subjects :
- Mathematics - Complex Variables
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1611.07758
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.geomphys.2017.01.022