One-loop effective potential for the vacuum gauge field in $M_3\times S^3 \times S^1$ space-times

Yoshinori Cho; Kiyoshi Shiraishi

doi:10.1142/S0217732305016932

paper

One-loop effective potential for the vacuum gauge field in $M_{3} \times S^{3} \times S^{1}$ space-times

arXiv:hep-th/0405154 · doi:10.1142/S0217732305016932

Abstract

We calculate the effective potential for the vacuum gauge field from the one-loop matter effect in $M_{3} \times S^{3} \times S^{1}$ space-time. This background geometry is motivated from the recent studies on gauged supergravities with a positive-definite potential, which admits a generalized Kaluza-Klein reduction. We investigate how symmetry breaking patterns through the Hosotani mechanism are affected by the ratio of the radii of $S^{1}$ and $S^{3}$ .

8pages, 2 figures. RevTeX4; some typos corrected

One-loop effective potential for the vacuum gauge field in M3​×S3×S1 space-times

Abstract

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One-loop effective potential for the vacuum gauge field in $M_{3} \times S^{3} \times S^{1}$ space-times