A Wilson line realization of quantum groups

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A Wilson line realization of quantum groups. / Aamand, Nanna; Kaufman, Dani.

In: Letters in Mathematical Physics, Vol. 114, No. 1, 12, 2024.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Aamand, N & Kaufman, D 2024, 'A Wilson line realization of quantum groups', Letters in Mathematical Physics, vol. 114, no. 1, 12. https://doi.org/10.1007/s11005-023-01756-x

APA

Aamand, N., & Kaufman, D. (2024). A Wilson line realization of quantum groups. Letters in Mathematical Physics, 114(1), [12]. https://doi.org/10.1007/s11005-023-01756-x

Vancouver

Aamand N, Kaufman D. A Wilson line realization of quantum groups. Letters in Mathematical Physics. 2024;114(1). 12. https://doi.org/10.1007/s11005-023-01756-x

Author

Aamand, Nanna ; Kaufman, Dani. / A Wilson line realization of quantum groups. In: Letters in Mathematical Physics. 2024 ; Vol. 114, No. 1.

Bibtex

@article{35e2175cc101431fa4adf0c8d3ad6e31,
title = "A Wilson line realization of quantum groups",
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.",
keywords = "17B37, 57K16, Chern–Simons theory, Perturbation theory, Primary: 81T45, Quantum group, Secondary: 81T15, Wilson line",
author = "Nanna Aamand and Dani Kaufman",
note = "Funding Information: The authors were supported by the European Research Council (ERC) under the European Union{\textquoteright}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: {\textcopyright} 2024, The Author(s).",
year = "2024",
doi = "10.1007/s11005-023-01756-x",
language = "English",
volume = "114",
journal = "Letters in Mathematical Physics",
issn = "0377-9017",
publisher = "Springer",
number = "1",

}

RIS

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