Geometric Langlands for the Rendering Array: Hecke Eigensheaves on P1 from the Four AC Axioms

Abstract

Paper XXII of the Array Cosmology (AC) programme posed the identification of the Wilson path integral on the rendering lattice R12 = M3(C) ⊗ M4(C) with a geometric Langlands Hecke eigensheaf. This paper carries out that identification within the AC scope, with zero free parameters and a single, precisely delimited external conjecture. The construction proceeds in four moves.