GAUGE-THEORY ON R X S3 TOPOLOGY

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 Malin Found. 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. © 1990 Plenum Publishing Corporation.