Revisiting instabilities of S1/Z2 models with loop-induced Fayet-Iliopoulos terms

Hiroyuki Abe; Tatsuo Kobayashi; Shohei Uemura; Junji Yamamoto

doi:10.1103/PhysRevD.100.065020

Revisiting instabilities of S1/Z2 models with loop-induced Fayet-Iliopoulos terms

Hiroyuki Abe, Tatsuo Kobayashi, Shohei Uemura, Junji Yamamoto

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We study Fayet-Iliopoulos (FI) terms of 5-dimensional supersymmetric U(1) gauge theory compactified on S1/Z2. In this model, loop diagrams including matter hypermultiplets and brane chiral multiplets induce FI-terms localized at the fixed points. Localized FI-terms lead instabilities of bulk modes. The form of the induced FI-terms strictly depends on wave function profiles of matter multiplets. It is a nontrivial question whether the vacuum of 1-loop corrected potential is stable under radiative corrections. We investigate this issue and it is found that the stable configuration is obtained when the bulk zero modes shield the brane charge completely.

Original language	English
Article number	065020
Journal	Physical Review D
Volume	100
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevD.100.065020
Publication status	Published - 2019 Sept 25

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.100.065020

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title = "Revisiting instabilities of S1/Z2 models with loop-induced Fayet-Iliopoulos terms",

abstract = "We study Fayet-Iliopoulos (FI) terms of 5-dimensional supersymmetric U(1) gauge theory compactified on S1/Z2. In this model, loop diagrams including matter hypermultiplets and brane chiral multiplets induce FI-terms localized at the fixed points. Localized FI-terms lead instabilities of bulk modes. The form of the induced FI-terms strictly depends on wave function profiles of matter multiplets. It is a nontrivial question whether the vacuum of 1-loop corrected potential is stable under radiative corrections. We investigate this issue and it is found that the stable configuration is obtained when the bulk zero modes shield the brane charge completely.",

author = "Hiroyuki Abe and Tatsuo Kobayashi and Shohei Uemura and Junji Yamamoto",

note = "Funding Information: H. A. is supported by Institute for Advanced Theoretical and Experimental Physics, Waseda University. T. K. was supported in part by MEXT KAKENHI Grant No. JP19H04605. Funding Information: H.A. is supported by Institute for Advanced Theoretical and Experimental Physics, Waseda University. T.K. was supported in part by MEXT KAKENHI Grant No. JP19H04605. Publisher Copyright: {\textcopyright} 2019 authors. Published by the American Physical Society.",

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doi = "10.1103/PhysRevD.100.065020",

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T1 - Revisiting instabilities of S1/Z2 models with loop-induced Fayet-Iliopoulos terms

AU - Abe, Hiroyuki

AU - Kobayashi, Tatsuo

AU - Uemura, Shohei

AU - Yamamoto, Junji

N1 - Funding Information: H. A. is supported by Institute for Advanced Theoretical and Experimental Physics, Waseda University. T. K. was supported in part by MEXT KAKENHI Grant No. JP19H04605. Funding Information: H.A. is supported by Institute for Advanced Theoretical and Experimental Physics, Waseda University. T.K. was supported in part by MEXT KAKENHI Grant No. JP19H04605. Publisher Copyright: © 2019 authors. Published by the American Physical Society.

PY - 2019/9/25

Y1 - 2019/9/25

N2 - We study Fayet-Iliopoulos (FI) terms of 5-dimensional supersymmetric U(1) gauge theory compactified on S1/Z2. In this model, loop diagrams including matter hypermultiplets and brane chiral multiplets induce FI-terms localized at the fixed points. Localized FI-terms lead instabilities of bulk modes. The form of the induced FI-terms strictly depends on wave function profiles of matter multiplets. It is a nontrivial question whether the vacuum of 1-loop corrected potential is stable under radiative corrections. We investigate this issue and it is found that the stable configuration is obtained when the bulk zero modes shield the brane charge completely.

AB - We study Fayet-Iliopoulos (FI) terms of 5-dimensional supersymmetric U(1) gauge theory compactified on S1/Z2. In this model, loop diagrams including matter hypermultiplets and brane chiral multiplets induce FI-terms localized at the fixed points. Localized FI-terms lead instabilities of bulk modes. The form of the induced FI-terms strictly depends on wave function profiles of matter multiplets. It is a nontrivial question whether the vacuum of 1-loop corrected potential is stable under radiative corrections. We investigate this issue and it is found that the stable configuration is obtained when the bulk zero modes shield the brane charge completely.

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Revisiting instabilities of S1/Z2 models with loop-induced Fayet-Iliopoulos terms

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