Feynman Diagrams in Four-Dimensional Holomorphic Theories and the Operatope

Abstract

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.

45 pages, Mathematica code attached

References in corpus (2)

• Comments on N=(2,2) Supersymmetry on Two-Manifolds
• Feynman Diagrams in Four-Dimensional Holomorphic Theories and the Operatope

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