Abstract
AbstractWe study Wilson line operators in three-dimensional Chern–Simons theory on a manifold with boundaries and prove to leading order, through a direct calculation of Feynman integrals, that the merging of parallel Wilson lines reproduces the coproduct on the quantum group $$U_\hbar ({\mathfrak {g}})$$
U
ħ
(
g
)
. We outline a connection of this theory with the moduli spaces of local systems defined by Goncharov and Shen.
Funder
Danmarks Grundforskningsfond
HORIZON EUROPE European Research Council
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics