Poisson–Lie Groups and Gauge Theory
Department Mathematik, Friedrich-Alexander-Universität Erlangen-Nürnberg, Cauerstraße 11, 91058 Erlangen, Germany
Symmetry 2021, 13(8), 1324; https://doi.org/10.3390/sym13081324
Submission received: 15 June 2021
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Revised: 18 July 2021
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Accepted: 19 July 2021
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Published: 22 July 2021
(This article belongs to the Special Issue Quantum Group Symmetry and Quantum Geometry)
Abstract
We review Poisson–Lie groups and their applications in gauge theory and integrable systems from a mathematical physics perspective. We also comment on recent results and developments and their applications. In particular, we discuss the role of quasitriangular Poisson–Lie groups and dynamical r-matrices in the description of moduli spaces of flat connections and the Chern–Simons gauge theory.
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MDPI and ACS Style
Meusburger, C. Poisson–Lie Groups and Gauge Theory. Symmetry 2021, 13, 1324. https://doi.org/10.3390/sym13081324
AMA Style
Meusburger C. Poisson–Lie Groups and Gauge Theory. Symmetry. 2021; 13(8):1324. https://doi.org/10.3390/sym13081324
Chicago/Turabian StyleMeusburger, Catherine. 2021. "Poisson–Lie Groups and Gauge Theory" Symmetry 13, no. 8: 1324. https://doi.org/10.3390/sym13081324
APA StyleMeusburger, C. (2021). Poisson–Lie Groups and Gauge Theory. Symmetry, 13(8), 1324. https://doi.org/10.3390/sym13081324
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