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arXiv · 2003.03512

Loop Fayet-Iliopoulos terms in $T^2/Z_2$ models: instability and moduli stabilization

Hiroyuki Abe·Tatsuo Kobayashi·Shohei Uemura·Junji Yamamoto
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Abstract

We study Fayet-Iliopoulos (FI) terms of six-dimensional supersymmetric Abelian gauge theory compactified on a $T^2/Z_2$ orbifold. Such orbifold compactifications can lead to localized FI-terms and instability of bulk zero modes. We study 1-loop correction to FI-terms in more general geometry than the previous works. We find induced FI-terms depend on the complex structure of the compact space. We also find the complex structure of the torus can be stabilized at a specific value corresponding to a self-consistent supersymmetric minimum of the potential by such 1-loop corrections, which is applicable to the modulus stabilization.

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Hiroyuki Abe, Tatsuo Kobayashi, Shohei Uemura, Junji Yamamoto. 2020-08-03. Loop Fayet-Iliopoulos terms in $T^2/Z_2$ models: instability and moduli stabilization. https://doi.org/10.1103/physrevd.102.045005

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