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RESEARCH PRODUCT
Yangian Symmetry for Fishnet Feynman Graphs
Florian LoebbertDmitry ChicherinVladimir KazakovDennis MüllerDe-liang Zhongsubject
High Energy Physics - Theorydimension: 4Feynman graphScalar (mathematics)[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]FOS: Physical sciencesConformal mapintegrability01 natural sciencesalgebra: conformal[ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th]symbols.namesake0103 physical sciencesFeynman diagramcorrelation function010306 general physicsABJM modelMathematical PhysicsMathematical physicsPhysicsfield theory: conformalSpacetimeAdS/CFT correspondence010308 nuclear & particles physics[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]Mathematical analysisscattering amplitudescalingdifferential equationsMathematical Physics (math-ph)FermionScattering amplitudespace-time: dimension: 6AdS/CFT correspondenceHigh Energy Physics - Theory (hep-th)symmetry: Yangiansupersymmetry: 4symbols[ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph]Yangiandescription
Various classes of fishnet Feynman graphs are shown to feature a Yangian symmetry over the conformal algebra. We explicitly discuss scalar graphs in three, four and six spacetime dimensions as well as the inclusion of fermions in four dimensions. The Yangian symmetry results in novel differential equations for these families of largely unsolved Feynman integrals. Notably, the considered fishnet graphs in three and four dimensions dominate the correlation functions and scattering amplitudes in specific double scaling limits of planar, gamma-twisted N=4 super Yang-Mills or ABJM theory. Consequently, the study of fishnet graphs allows us to get deep insights into the integrability of the planar AdS/CFT correspondence.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 |