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  • Letter
  • Open Access

Antipodal self-duality of square fishnet graphs

Lance J. Dixon1 and Claude Duhr2

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Phys. Rev. D 111, L101901 – Published 12 May, 2025

DOI: https://doi.org/10.1103/PhysRevD.111.L101901

Abstract

In strongly deformed planar N=4 super-Yang-Mills theory, or fishnet theory, a point-split single-trace correlation function of four dimension-m scalar operators is given by a single Feynman integral, which involves integrating over locations of a m×m grid of points. We show that for any integer m this square fishnet graph is invariant under the combined action of a kinematic map and the antipode map of the Hopf algebra on multiple polylogarithms; i.e. it possesses an antipodal self-duality.

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Phys. Rev. D 111, L101901– Published 12 May, 2025
  • Received 7 February 2025
  • Accepted 16 April 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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