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math.PR2024
Surface sums for lattice Yang-Mills in the large- limit
Jacopo Borga, Sky Cao, Jasper Shogren-Knaak
We give a sum over weighted planar surfaces formula for Wilson loop expectations in the large- limit of strongly coupled lattice Yang-Mills theory, in any dimension. The weights…
math.PR2024
Reconstructing SLE-decorated Liouville quantum gravity surfaces from random permutons
Jacopo Borga, Ewain Gwynne
Permutons constructed from a Liouville quantum gravity surface and a pair of space-filling Schramm-Loewner evolutions (SLEs) have been shown -- or are conjectured -- to describe th…