Maximally extended sl(2|2) as a quantum double
Mathematical Physics
2017-07-11 v1 High Energy Physics - Theory
math.MP
Quantum Algebra
Abstract
We derive the universal R-matrix of the quantum-deformed enveloping algebra of centrally extended sl(2|2) using Drinfeld's quantum double construction. We are led to enlarging the algebra by additional generators corresponding to an sl(2) automorphism. For this maximally extended algebra we construct a consistent Hopf algebra structure where the extensions exhibit several uncommon features. We determine the corresponding universal R-matrix containing some non-standard functions. Curiously, this Hopf algebra has one extra deformation parameter for which the R-matrix does not factorize into products of exponentials.
Cite
@article{arxiv.1602.04988,
title = {Maximally extended sl(2|2) as a quantum double},
author = {Niklas Beisert and Marius de Leeuw and Reimar Hecht},
journal= {arXiv preprint arXiv:1602.04988},
year = {2017}
}
Comments
49+\epsilon\ pages