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DTSTART:20240101T000000
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DTSTART;TZID=UTC:20251101T100000
DTEND;TZID=UTC:20251101T110000
DTSTAMP:20260409T091837
CREATED:20250630T094550Z
LAST-MODIFIED:20250721T113504Z
UID:11583-1761991200-1761994800@www.lapth.cnrs.fr
SUMMARY:Yangian symmetry\, GKZ equations and integrable Feynman graphs
DESCRIPTION:Speakers: Fedor Levkovich-Maslyuk (Centre for Mathematical Science\, City St George’s\, University of London)\nDATE IN DISCUSSIONWe extend the powerful property of Yangian invariance to a new large class of conformally invariant multi-loop Feynman integrals. This leads to new highly constraining differential equations for them\, making integrability visible at the level of individual Feynman graphs. Our results apply to planar Feynman diagrams in any spacetime dimension dual to an arbitrary network of intersecting straight lines on a plane (Baxter lattice)\, with propagator powers determined by the geometry. The graphs we consider determine correlators in the recently proposed « loom » fishnet CFTs. The construction unifies and greatly extends the known special cases of Yangian invariance to likely the most general family of integrable scalar planar graphs. We also relate these equations in certain cases to famous GKZ (Gelfand-Kapranov-Zelevinsky) hypergeometric operators\, opening the way to using new powerful solution methods. \nhttps://indico.in2p3.fr/event/36410/
URL:https://www.lapth.cnrs.fr/event/yangian-symmetry-gkz-equations-and-integrable-feynman-graphs/
LOCATION:Salle des Sommets (LAPTh)
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