Spontaneous supersymmetry breaking in inhomogeneous supersymmetric field theories and BPS vacua

Yoonbai Kim (Department of Physics, BK21 Physics Research Division, Autonomous Institute of Natural Science, Institute of Basic Science, Sungkyunkwan University, Suwon, 16419, Korea) ; O-Kab Kwon (Department of Physics, BK21 Physics Research Division, Autonomous Institute of Natural Science, Institute of Basic Science, Sungkyunkwan University, Suwon, 16419, Korea) ; D. Tolla (Department of Physics, BK21 Physics Research Division, Autonomous Institute of Natural Science, Institute of Basic Science, Sungkyunkwan University, Suwon, 16419, Korea; University College, Sungkyunkwan University, Suwon, 16419, Korea)

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.

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      "source": "Springer", 
      "value": "We study spontaneous supersymmetry breaking in inhomogeneous extensions of   <math> <mi>N</mi> </math>  $$ \\mathcal{N} $$  = 1 supersymmetric field theory models in 4-dimensions. The   <math> <mi>N</mi> </math>  $$ \\mathcal{N} $$  = 1 Abelian Higgs model with the inhomogeneous mass parameter and the FI coefficient that are dependent on spatial coordinates, as well as the O\u2019Raifeartaigh 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   <math> <mi>N</mi> </math>  $$ \\mathcal{N} $$  = 1 supersymmetric model as well."
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Published on:
13 November 2023
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2023 (2023)
Issue 11
Pages 1-22
DOI:
https://doi.org/10.1007/JHEP11(2023)074
arXiv:
2308.08136
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: