ONE-LOOP EFFECTIVE POTENTIAL FOR THE VACUUM GAUGE FIELD IN M3 x S3 x S1 SPACETIME.

We calculate the effective potential for the vacuum gauge field from the one-loop matter effect in M3 × S³ x S¹ spacetime. This background geometry is motivated from the recent studies on gauged supergravities with a positive-definite potential, which admits a generalized Kaluza­Klein reduction. We investigate how symmetry breaking patterns through the Hosotani mechanism are affected by the ratio of the radii of S¹ and S³. [ABSTRACT FROM AUTHOR]