Classification of Standard Manin Triples in Dimension 4+4

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F25%3A00386472" target="_blank" >RIV/68407700:21240/25:00386472 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/25:00386472
Result on the web
<a href="https://doi.org/10.1093/ptep/ptaf154" target="_blank" >https://doi.org/10.1093/ptep/ptaf154</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/ptep/ptaf154" target="_blank" >10.1093/ptep/ptaf154</a>

Result language
angličtina
Original language name
Classification of Standard Manin Triples in Dimension 4+4
Original language description
Four- and six-dimensional Drinfeld doubles were classified in the past in terms of Manin triples. We provide an important step toward the classification of eight-dimensional Drinfeld doubles by presenting an extensive list of Manin triples formed by pairs of four–dimensional Lie algebras. Due to the high complexity of the classification we focus on Manin triples formed by algebras in a certain standard form. The list contains 188 nonisomorphic Manin triples plus their duals. To apply the results, we construct several four-dimensional Wess–Zumino–Witten (WZW) models on non-semisimple Lie groups. Some of the WZW models are known from the literature, but new cases are presented as well. As a consequence of the construction method, the WZW models are Poisson–Lie dualizable.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10303 - Particles and field physics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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