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Basso-Dixon Correlators in Two-Dimensional Fishnet CFT

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arxiv 1811.10623 v2 pith:LNPCQNGB submitted 2018-11-26 hep-th

Sergey Derkachov , Vladimir Kazakov , Enrico Olivucci This is my paper · ORCID
classification hep-th
keywords fishnetbasso-dixonintegrablelatticepropagatorstwo-dimensionalanisotropicarising
verification ladder T0 review T1 audit T2 compute T3 formal
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We compute explicitly the two-dimensional version of Basso-Dixon type integrals for the planar four-point correlation functions given by conformal fishnet Feynman graphs. These diagrams are represented by a fragment of a regular square lattice of power-like propagators, arising in the recently proposed integrable bi-scalar fishnet CFT. The formula is derived from first principles, using the formalism of separated variables in integrable SL(2,C) spin chain. It is generalized to anisotropic fishnet, with different powers for propagators in two directions of the lattice.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Integrable systems: From the ice rule to supersymmetric fishnet Feynman diagrams

    hep-th 2025-09 conditional novelty 7.0 of 10

    A dissertation extends the integrability correspondence between lattice models and fishnet Feynman graphs to fermionic, supersymmetric, and boundary cases, yielding new exact critical couplings and a conjectured box p...

  2. Yangian symmetry, GKZ equations and integrable Feynman graphs in conformal variables

    hep-th 2024-12 conditional novelty 7.0 of 10

    Yangian-invariant conformal Feynman integrals satisfy a general cross-ratio PDE system that for a class of graphs is exactly a GKZ hypergeometric system.

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