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Feynman Diagrams in Four-Dimensional Holomorphic Theories and the Operatope

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arxiv 2207.14321 v1 pith:7BWK3UQF submitted 2022-07-28 hep-th math-phmath.MPmath.QA

Kasia Budzik , Davide Gaiotto , Justin Kulp , Jingxiang Wu , Matthew Yu This is my paper · ORCID
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keywords theoriesappearclassfeynmanfour-dimensionalholomorphicintegralsoperatope
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We study a class of universal Feynman integrals which appear in four-dimensional holomorphic theories. We recast the integrals as the Fourier transform of a certain polytope in the space of loop momenta (aka the ``Operatope''). We derive a set of quadratic recursion relations which appear to fully determine the final answer. Our strategy can be applied to a very general class of twisted supersymmetric quantum field theories.

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Cited by 1 Pith paper

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  1. Loop Corrected Supercharges from Holomorphic Anomalies

    hep-th 2025-12 conditional novelty 6.0 of 10

    The complete one-loop supercharge for 4d Lagrangian SUSY gauge theories is derived in the holomorphic twist, packaged for N=4 SYM as a compact superfield formula.

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