116 citations · 1.3k across the 38 of their papers we have counts for
38 papers
Hypergeometry from -Symmetry: Feynman Integrals in One and Two Dimensions
Gwenaël Ferrando, Florian Loebbert, Amelie Pitters +1
Feynman integrals with generic propagator powers in one and two spacetime dimensions are investigated from various perspectives. In particular, we argue that the class of track int…
Non-Local Symmetries of Planar Feynman Integrals
Florian Loebbert, Lucas Rüenaufer, Sven F. Stawinski
We prove the invariance of scalar Feynman graphs of any planar topology under the Yangian level-one momentum symmetry given certain constraints on the propagator powers. The proof…
The Feyn-Structure of Yangian Symmetry
Florian Loebbert, Harshad Mathur
Yangian-type differential operators are shown to constrain Feynman integrals beyond the restriction to integrable graphs. In particular, we prove that all position-space Feynman di…
Conformal Four-Point Integrals: Recursive Structure, Toda Equations and Double Copy
Florian Loebbert, Sven F. Stawinski
We consider conformal four-point Feynman integrals to investigate how much of their mathematical structure in two spacetime dimensions carries over to higher dimensions. In particu…
Geometry from Integrability: Multi-Leg Fishnet Integrals in Two Dimensions
Claude Duhr, Albrecht Klemm, Florian Loebbert +2
We generalise the geometric analysis of square fishnet integrals in two dimensions to the case of hexagonal fishnets with three-point vertices. Our results support the conjecture t…
The Basso-Dixon Formula and Calabi-Yau Geometry
Claude Duhr, Albrecht Klemm, Florian Loebbert +2
We analyse the family of Calabi-Yau varieties attached to four-point fishnet integrals in two dimensions. We find that the Picard-Fuchs operators for fishnet integrals are exterior…