

46:18
published on December 3, 2024
Computational Complexity in Column Sums of Symmetric Group Character Tables and Counting of Surfaces
By Joseph Ben Geloun
Appears in collection : Slava Rychkov – Random Field Ising Model and Parisi-Sourlas Supersymmetry
Numerical evidence suggests that the Random Field Ising Model loses Parisi-Sourlas SUSY and the dimensional reduction property somewhere between 4 and 5 dimensions, while a related model of branched polymers retains these features in any d. I will present a recent theory, developed in 2019-2021 jointly with A. Kaviraj and E. Trevisani and published in [1-4], which aims to explain these facts.
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