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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

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 6 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.

  3. Twistor fishnets

    hep-th 2019-08 conditional novelty 7.0 of 10

    Fishnet theory is recast on twistor space with an abelian gauge symmetry, yielding manifestly conformal cohomological amplitude formulae.

  4. The Holographic Dual of Strongly \gamma-deformed N=4 SYM Theory: Derivation, Generalization, Integrability and Discrete Reparametrization Symmetry

    hep-th 2019-08 conditional novelty 7.0 of 10

    The authors extend the first-principles holographic derivation of the fishnet model to operators with magnons, present Baxter TQ equations for the full spectrum, and identify a discrete reparametrization symmetry.

  5. Spontaneous Conformal Symmetry Breaking in Fishnet CFT

    hep-th 2019-08 conditional novelty 7.0 of 10

    The non-unitary fishnet CFT admits classical and quantum-protected flat vacua that spontaneously break conformal symmetry with exactly zero vacuum energy.

  6. On Complex Gamma-Function Integrals

    math-ph 2019-08 conditional novelty 6.0 of 10

    Two complex gamma-function integral identities are proved directly and shown to imply star-triangle relations and the Dotsenko-Fateev duality in a classical limit.

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