q-Quaternions and deformed su(2) instantons on the quantum Euclidean space R_q^4
High Energy Physics - Theory
2012-09-28 v1 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We briefly report on our recent results regarding the introduction of a notion of a q-quaternion and the construction of instanton solutions of a would-be deformed su(2) Yang-Mills theory on the corresponding SO_q(4)-covariant quantum space. As the solutions depend on some noncommuting parameters, this indicates that the moduli space of a complete theory will be a noncommutative manifold.
Keywords
Cite
@article{arxiv.hep-th/0604032,
title = {q-Quaternions and deformed su(2) instantons on the quantum Euclidean space R_q^4},
author = {Gaetano Fiore},
journal= {arXiv preprint arXiv:hep-th/0604032},
year = {2012}
}
Comments
Latex file, 13 pages. Talk given at the 4-th International Symposium "Quantum Theories and Phsysics", Varna, Bulgaria, August 2005. This is a slightly improved version of the contribution which will appear in the proceedings of the conference