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Résumé |
``Null polygons" in N=4 SYM theory capture the UV behaviour of a planar multi-
point correlator of local operators inserted at the vertices of a light-like
polygon. The leading UV divergences of null polygons satisfy a hierarchy of
coupled Toda field theory equations according to a recent conjecture [E.O., Vieira
’22]. I will present some progress towards the prediction of Null Polygons beyond
leading logarithm via the hexagons technique, appropriately truncated in the
light-cone regime. The method, still conjectural, relies on a series of weak-
coupling derivations performed in the Fishnet limit of the theory, where the
hexagon representation is achieved in the basis of the excitations of a conformal
Heisenberg magnet in the principal series. I will present a series of worked-out
examples of this method for 6-point correlators at a few loop orders. |
