Yangian Symmetry for Fishnet Feynman Graphs
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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.
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Cited by 3 Pith papers
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Discrete symmetries of Feynman integrals
Discrete symmetries of Feynman integral families correspond to permutations of Feynman parameters and induce group actions on twisted cohomology whose characters are Euler characteristics of fixed-point sets, yielding...
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Yangian Symmetry Escapes from the Fishnet
Yangian symmetry holds classically in fishnet models under restricted evaluation parameters but does not extend to generic quantum correlators in the bi-scalar model, with counterexamples indicating that non-zero dual...
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Yangian Symmetry Escapes from the Fishnet
Yangian symmetry is realized classically in fishnet models under restricted parameter choices but does not extend to generic quantum correlators, indicating an obstacle from non-zero dual Coxeter number.
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