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Generalized Fishnets and Exact Four-Point Correlators in Chiral CFT$_4$

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arxiv 1901.00011 v2 pith:MFZMC6HO submitted 2018-12-31 hep-th

Vladimir Kazakov , Enrico Olivucci , Michelangelo Preti This is my paper · ORCID
classification hep-th
keywords chiralfeynmanfour-pointstructurebosoniccertaincomputecorrelators
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study the Feynman graph structure and compute certain exact four-point correlation functions in chiral CFT$_4$ proposed by \"{O}.G\"{u}rdo\u{g}an and one of the authors as a double scaling limit of $\gamma$-deformed $\mathcal{N}=4$ SYM theory. We give full description of bulk behavior of large Feynman graphs: it shows a generalized "dynamical fishnet" structure, with a dynamical exchange of bosonic and Yukawa couplings. We compute certain four-point correlators in the full chiral CFT$_4$, generalizing recent results for a particular one-coupling version of this theory -- the bi-scalar "fishnet" CFT. We sum up exactly the corresponding Feynman diagrams, including both bosonic and fermionic loops, by Bethe-Salpeter method. This provides explicit OPE data for various twist-2 operators with spin, showing a rich analytic structure, both in coordinate and coupling spaces.

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Cited by 5 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. 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.

  5. On the Regge limit of Fishnet correlators

    hep-th 2019-08 conditional novelty 6.0 of 10

    The 0-magnon and 1-magnon Regge trajectories are exact functions of the fishnet coupling; 2-magnon trajectories are obtained perturbatively, with Mellin amplitudes evaluated at weak and strong coupling.

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