Fayet-Iliopoulos D-Term in Non-Supersymmetric Heterotic String Orbifolds
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arXiv
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| Format: | Preprint |
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2023
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| author | Avalos, Alonzo R. Diaz Faraggi, Alon E. Matyas, Viktor G. Percival, Benjamin |
| author_facet | Avalos, Alonzo R. Diaz Faraggi, Alon E. Matyas, Viktor G. Percival, Benjamin |
| contents | The Fayet-Iliopoulos $D$-term is a common feature in $\mathcal{N}=1$ string vacua that contain an anomalous $U(1)$ gauge symmetry, and arises from a one--loop diagram in string perturbation theory. The same diagram is generated in string vacua in which supersymmetry is broken directly at the string scale, either via spontaneous Scherk-Schwarz breaking, in which case the gravitino mass is determined by the radius of the circle used in the Scherk-Schwarz mechanism, or via explicit supersymmetry breaking by the GSO projections. We analyse the resulting would-be Fayet-Illiopoulos $D$-term in the non-supersymmetric string vacua and its contribution to the vacuum energy. A numerical estimate in an explicit tachyon-free string-derived model suggests that the would-be $D$-term contribution may uplift the vacuum energy to a positive value. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2302_10075 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fayet-Iliopoulos D-Term in Non-Supersymmetric Heterotic String Orbifolds Avalos, Alonzo R. Diaz Faraggi, Alon E. Matyas, Viktor G. Percival, Benjamin High Energy Physics - Theory High Energy Physics - Phenomenology The Fayet-Iliopoulos $D$-term is a common feature in $\mathcal{N}=1$ string vacua that contain an anomalous $U(1)$ gauge symmetry, and arises from a one--loop diagram in string perturbation theory. The same diagram is generated in string vacua in which supersymmetry is broken directly at the string scale, either via spontaneous Scherk-Schwarz breaking, in which case the gravitino mass is determined by the radius of the circle used in the Scherk-Schwarz mechanism, or via explicit supersymmetry breaking by the GSO projections. We analyse the resulting would-be Fayet-Illiopoulos $D$-term in the non-supersymmetric string vacua and its contribution to the vacuum energy. A numerical estimate in an explicit tachyon-free string-derived model suggests that the would-be $D$-term contribution may uplift the vacuum energy to a positive value. |
| title | Fayet-Iliopoulos D-Term in Non-Supersymmetric Heterotic String Orbifolds |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2302.10075 |