On 10 dimensional Exceptional Drinfel'd Algebras
High Energy Physics - Theory
2023-09-06 v2
Abstract
Based on Mubarakzyanov's classification of four-dimensional real Lie algebras, we classify ten-dimensional Exceptional Drinfeld algebras (EDA). The classification is restricted to EDA's whose maximal isotropic (geometric) subalgebras cannot be represented as a product of a 3D Lie algebra and a 1D abelian factor. We collect the obtained algebras into families depending on the dualities found between them. Despite algebras related by a generalized Yang-Baxter deformation we find two algebras related by a different Nambu-Lie U-duality transformation. We show that this duality relates two Type IIA backgrounds.
Keywords
Cite
@article{arxiv.2301.11963,
title = {On 10 dimensional Exceptional Drinfel'd Algebras},
author = {Sameer Kumar and Edvard T. Musaev},
journal= {arXiv preprint arXiv:2301.11963},
year = {2023}
}
Comments
v2: more precise classification presented; an error in Mathematic code corrected; main statement of v1 has not been changed