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

Yoshinori Cho·Kiyoshi Shiraishi
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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 $S^3$.

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Yoshinori Cho, Kiyoshi Shiraishi. 2004-12-21. One-loop effective potential for the vacuum gauge field in $M_3\times S^3 \times S^1$ space-times. https://doi.org/10.1142/s0217732305016932

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