143 citations · 624 across the 19 of their papers we have counts for
19 papers
Monodromy of multiloop integrals in dimensions
Roman N. Lee, Andrei A. Pomeransky
We consider the monodromy group of the differential systems for multiloop integrals. We describe a simple heuristic method to obtain the monodromy matrices as functions of space-ti…
Differential equations, recurrence relations, and quadratic constraints for -loop two-point massive tadpoles and propagators
Roman N. Lee, Andrei A. Pomeransky
We consider -loop two-point tadpole (watermelon) integral with arbitrary masses, regularized both dimensionally and analytically. We derive differential equation system and recu…
Normalized Fuchsian form on Riemann sphere and differential equations for multiloop integrals
Roman N. Lee, Andrei A. Pomeransky
We consider the question of reducibility of the differential system to normalized Fuchsian form on the Riemann sphere. The differential equations for the multiloop integrals in …
General triple charged black ring solution in supergravity
Andrew Feldman, Andrei A. Pomeransky
We present the general black ring solution in supergravity in 5 dimensions with three independent dipole and electric charges. This immediately gives the general black r…
Critical points and number of master integrals
Roman N. Lee, Andrei A. Pomeransky
We consider the question about the number of master integrals for a multiloop Feynman diagram. We show that, for a given set of denominators, this number is totally determined by t…
Charged black rings in supergravity with a single non-zero gauge field
Andrew L. Feldman, Andrei A. Pomeransky
General charged black ring solution with two angular momenta, a charge and a dipole charge is found by the inverse scattering method. The solution is presented in a relatively conc…