Fayet-Iliopoulos D-Term in Non-Supersymmetric Heterotic String Orbifolds

Fuente: arXiv
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Autores principales: Avalos, Alonzo R. Diaz, Faraggi, Alon E., Matyas, Viktor G., Percival, Benjamin
Formato: Preprint
Publicado: 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.
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id 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