Inhomogeneous Yang-Mills algebras
Quantum Algebra
2009-11-11 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
Rings and Algebras
Abstract
We determine all inhomogeneous Yang-Mills algebras and super Yang-Mills algebras which are Koszul. Following a recent proposal, a non-homogeneous algebra is said to be Koszul if the homogeneous part is Koszul and if the PBW property holds. In this paper, the homogeneous parts are the Yang-Mills algebra and the super Yang-Mills algebra.
Keywords
Cite
@article{arxiv.math/0511521,
title = {Inhomogeneous Yang-Mills algebras},
author = {Roland Berger and Michel Dubois-Violette},
journal= {arXiv preprint arXiv:math/0511521},
year = {2009}
}
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17 pages