Classification of Standard Manin Triples in Dimension 4+4

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/68407700:21340/25:00386472

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Classification of Standard Manin Triples in Dimension 4+4

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Classification of Standard Manin Triples in Dimension 4+4

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Progress of Theoretical and Experimental Physics

ISSN

2050-3911

e-ISSN

2050-3911

Svazek periodika

2025

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

28

Strana od-do

—

Kód UT WoS článku

001626362100001

EID výsledku v databázi Scopus

2-s2.0-105023147493