A Wilson line realization of quantum groups
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A Wilson line realization of quantum groups. / Aamand, Nanna; Kaufman, Dani.
I: Letters in Mathematical Physics, Bind 114, Nr. 1, 12, 2024.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - A Wilson line realization of quantum groups
AU - Aamand, Nanna
AU - Kaufman, Dani
N1 - Funding Information: The authors were supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 772960), and the Copenhagen Centre for Geometry and Topology (DNRF151). Our special thanks goes to Kevin Costello, Nathalie Wahl and Ryszard Nest for helpful suggestions and discussions. Publisher Copyright: © 2024, The Author(s).
PY - 2024
Y1 - 2024
N2 - 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.
AB - 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.
KW - 17B37
KW - 57K16
KW - Chern–Simons theory
KW - Perturbation theory
KW - Primary: 81T45
KW - Quantum group
KW - Secondary: 81T15
KW - Wilson line
U2 - 10.1007/s11005-023-01756-x
DO - 10.1007/s11005-023-01756-x
M3 - Journal article
AN - SCOPUS:85181492905
VL - 114
JO - Letters in Mathematical Physics
JF - Letters in Mathematical Physics
SN - 0377-9017
IS - 1
M1 - 12
ER -
ID: 390513437