3 papers
math-ph2017
Some applications of Griffiths theorem in theory of Feynman integrals
Valentina A. Golubeva, Alexey N. Ivanov
The present paper provides a method for finding partial differential equations satisfied by the Feynman integrals for diagrams of various types, using the Griffiths theorem on the…
math.CV2016
Fuchsian systems for Dotsenko-Fateev multipoint correlation functions and similar integrals of hypergeometric type
Valentina Golubeva, Alexey Ivanov
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 fo…
math.RT2012
Knizhnik-Zamolodchikov type equations for the root system and Capelli central elements
D. V. Artamonov, V. A. Goloubeva
The construction of the well-known Knizhnik-Zamolodchikov equations uses the central element of the second order in the universal enveloping algebra for some Lie algebra. But in th…