Spontaneous supersymmetry breaking in inhomogeneous supersymmetric field theories and BPS vacua
Abstract We study spontaneous supersymmetry breaking in inhomogeneous extensions of N $$ \mathcal{N} $$ = 1 supersymmetric field theory models in 4-dimensions. The N $$ \mathcal{N} $$ = 1 Abelian Higgs model with the inhomogeneous mass parameter and the FI coefficient that are dependent on spatial c...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2023)074 |
| _version_ | 1797199714968403968 |
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| author | Yoonbai Kim O-Kab Kwon D. D. Tolla |
| author_facet | Yoonbai Kim O-Kab Kwon D. D. Tolla |
| author_sort | Yoonbai Kim |
| collection | DOAJ |
| description | Abstract We study spontaneous supersymmetry breaking in inhomogeneous extensions of N $$ \mathcal{N} $$ = 1 supersymmetric field theory models in 4-dimensions. The N $$ \mathcal{N} $$ = 1 Abelian Higgs model with the inhomogeneous mass parameter and the FI coefficient that are dependent on spatial coordinates, as well as the O’Raifeartaigh model with all its parameters being dependent on spatial coordinates, are studied in detail. In the presence of inhomogeneous parameters, half supersymmetry can be preserved by adding appropriate inhomogeneous deformations to the original Lagrangians. The inhomogeneous deformations often break the R-symmetry explicitly. In cases where the inhomogeneous deformations do not break the R-symmetry explicitly, we demonstrate that spontaneous breaking of the R-symmetry is infeasible. We argue that those models can not be spontaneous supersymmetry breaking models, according to the Nelson-Seiberg argument. We comment on this issue in the context of a generic N $$ \mathcal{N} $$ = 1 supersymmetric model as well. |
| first_indexed | 2024-03-10T22:23:37Z |
| format | Article |
| id | doaj.art-d74c763ffe5a44dea666126e0223407e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:20:09Z |
| publishDate | 2023-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d74c763ffe5a44dea666126e0223407e2024-04-21T11:05:32ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231112210.1007/JHEP11(2023)074Spontaneous supersymmetry breaking in inhomogeneous supersymmetric field theories and BPS vacuaYoonbai Kim0O-Kab Kwon1D. D. Tolla2Department of Physics, BK21 Physics Research Division, Autonomous Institute of Natural Science, Institute of Basic Science, Sungkyunkwan UniversityDepartment of Physics, BK21 Physics Research Division, Autonomous Institute of Natural Science, Institute of Basic Science, Sungkyunkwan UniversityDepartment of Physics, BK21 Physics Research Division, Autonomous Institute of Natural Science, Institute of Basic Science, Sungkyunkwan UniversityAbstract We study spontaneous supersymmetry breaking in inhomogeneous extensions of N $$ \mathcal{N} $$ = 1 supersymmetric field theory models in 4-dimensions. The N $$ \mathcal{N} $$ = 1 Abelian Higgs model with the inhomogeneous mass parameter and the FI coefficient that are dependent on spatial coordinates, as well as the O’Raifeartaigh model with all its parameters being dependent on spatial coordinates, are studied in detail. In the presence of inhomogeneous parameters, half supersymmetry can be preserved by adding appropriate inhomogeneous deformations to the original Lagrangians. The inhomogeneous deformations often break the R-symmetry explicitly. In cases where the inhomogeneous deformations do not break the R-symmetry explicitly, we demonstrate that spontaneous breaking of the R-symmetry is infeasible. We argue that those models can not be spontaneous supersymmetry breaking models, according to the Nelson-Seiberg argument. We comment on this issue in the context of a generic N $$ \mathcal{N} $$ = 1 supersymmetric model as well.https://doi.org/10.1007/JHEP11(2023)074Supersymmetry BreakingSuperspacesSupersymmetric Gauge Theory |
| spellingShingle | Yoonbai Kim O-Kab Kwon D. D. Tolla Spontaneous supersymmetry breaking in inhomogeneous supersymmetric field theories and BPS vacua Journal of High Energy Physics Supersymmetry Breaking Superspaces Supersymmetric Gauge Theory |
| title | Spontaneous supersymmetry breaking in inhomogeneous supersymmetric field theories and BPS vacua |
| title_full | Spontaneous supersymmetry breaking in inhomogeneous supersymmetric field theories and BPS vacua |
| title_fullStr | Spontaneous supersymmetry breaking in inhomogeneous supersymmetric field theories and BPS vacua |
| title_full_unstemmed | Spontaneous supersymmetry breaking in inhomogeneous supersymmetric field theories and BPS vacua |
| title_short | Spontaneous supersymmetry breaking in inhomogeneous supersymmetric field theories and BPS vacua |
| title_sort | spontaneous supersymmetry breaking in inhomogeneous supersymmetric field theories and bps vacua |
| topic | Supersymmetry Breaking Superspaces Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP11(2023)074 |
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