Antipodal self-duality of square fishnet graphs

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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