Poisson–Lie Groups and Gauge Theory
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 <i&...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-07-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/8/1324 |
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doaj-7a14d9c3f98841b498dcfe9bb85d3a0e2021-08-26T14:23:38ZengMDPI AGSymmetry2073-89942021-07-01131324132410.3390/sym13081324Poisson–Lie Groups and Gauge TheoryCatherine Meusburger0Department Mathematik, Friedrich-Alexander-Universität Erlangen-Nürnberg, Cauerstraße 11, 91058 Erlangen, GermanyWe 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 <i>r</i>-matrices in the description of moduli spaces of flat connections and the Chern–Simons gauge theory.https://www.mdpi.com/2073-8994/13/8/1324Poisson–Lie groupsLie bialgebras and <i>r</i>-matricesintegrable modelsPoisson homogeneous spaces |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Catherine Meusburger |
| spellingShingle |
Catherine Meusburger Poisson–Lie Groups and Gauge Theory Symmetry Poisson–Lie groups Lie bialgebras and <i>r</i>-matrices integrable models Poisson homogeneous spaces |
| author_facet |
Catherine Meusburger |
| author_sort |
Catherine Meusburger |
| title |
Poisson–Lie Groups and Gauge Theory |
| title_short |
Poisson–Lie Groups and Gauge Theory |
| title_full |
Poisson–Lie Groups and Gauge Theory |
| title_fullStr |
Poisson–Lie Groups and Gauge Theory |
| title_full_unstemmed |
Poisson–Lie Groups and Gauge Theory |
| title_sort |
poisson–lie groups and gauge theory |
| publisher |
MDPI AG |
| series |
Symmetry |
| issn |
2073-8994 |
| publishDate |
2021-07-01 |
| description |
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 <i>r</i>-matrices in the description of moduli spaces of flat connections and the Chern–Simons gauge theory. |
| topic |
Poisson–Lie groups Lie bialgebras and <i>r</i>-matrices integrable models Poisson homogeneous spaces |
| url |
https://www.mdpi.com/2073-8994/13/8/1324 |
| work_keys_str_mv |
AT catherinemeusburger poissonliegroupsandgaugetheory |
| _version_ |
1721189717754511360 |