Abstract
A model for gauge theories over a compact Lie group is described using R × S3 as background space. The U(1) and SU(2) gauge theories are considered as particular examples, and a comparison with other results is given. Our results differ from those of Carmeli and MalinFound. Phys. 16, 791 (1986);17, 193 (1987)] by a supplementary term in the curvature tensor due to the noncommutativity of derivatives used on R × S3 space. Some observations about supersymmetry and gravity on R × S3 space are also given.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. Carmeli,Found. Phys. 15, 175 (1985).
M. Carmeli and S. Malin,Found. Phys. 15, 185 (1985).
M. Carmeli and S. Malin,Found. Phys. 15, 1019 (1985).
M. Carmeli and S. Malin,Found. Phys. 16, 791 (1986).
M. Carmeli and S. Malin,Found. Phys. 17, 193 (1987).
M. Carmeli and S. Malin,Found. Phys. 17, 407 (1987).
D. Sen,Nucl. Phys. B 284, 201 (1987).
Gh. Gheorghiev and V. Oproiu,Differentiable Manifolds with Finite and Infinite Dimensions, Vol. I (Ed. Acad. Romania, Bucharest, 1976) (in Romanian).
D. Sen,J. Math. Phys. 27, 472 (1986).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zet, G. Gauge theory onR×S 3 topology. Found Phys 20, 111–117 (1990). https://doi.org/10.1007/BF00732937
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00732937