A Wilson line realization of quantum groups

Nanna Aamand, Dani Kaufman*

*Corresponding author af dette arbejde

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Abstract

We 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 Uħ(g) . We outline a connection of this theory with the moduli spaces of local systems defined by Goncharov and Shen.

OriginalsprogEngelsk
Artikelnummer12
TidsskriftLetters in Mathematical Physics
Vol/bind114
Udgave nummer1
Antal sider19
ISSN0377-9017
DOI
StatusUdgivet - 2024

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© 2024, The Author(s).

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