Vacua by derivative corrections in $$\mathcal {N} = 1$$ N = 1 supergravity with matter multiplets

Abstract We study the vacuum structures of four-dimen-sional $$\mathcal {N} = 1$$ N = 1 old minimal supergravity with higher derivative corrections. We find that $$\mathcal {N} = 1$$ N = 1 supergravity with Riemann curvature square corrections and higher derivative matter chiral multiplets induces a...

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Main Authors: Atsuki Inoue, Shin Sasaki
Format: Article
Language:English
Published: SpringerOpen 2022-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-022-11137-8
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author Atsuki Inoue
Shin Sasaki
author_facet Atsuki Inoue
Shin Sasaki
author_sort Atsuki Inoue
collection DOAJ
description Abstract We study the vacuum structures of four-dimen-sional $$\mathcal {N} = 1$$ N = 1 old minimal supergravity with higher derivative corrections. We find that $$\mathcal {N} = 1$$ N = 1 supergravity with Riemann curvature square corrections and higher derivative matter chiral multiplets induces a non-trivial de Sitter vacuum, even in the absence of superpotentials. This vacuum generically breaks supersymmetry. We show that the auxiliary fields in the gravity and the chiral multiples play important roles to generate a potential in supersymmetric higher derivative theories.
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spelling doaj.art-e2191f64c5a34875826416998787cf242023-03-22T12:11:24ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-12-0182121610.1140/epjc/s10052-022-11137-8Vacua by derivative corrections in $$\mathcal {N} = 1$$ N = 1 supergravity with matter multipletsAtsuki Inoue0Shin Sasaki1Department of Physics, Kitasato UniversityDepartment of Physics, Kitasato UniversityAbstract We study the vacuum structures of four-dimen-sional $$\mathcal {N} = 1$$ N = 1 old minimal supergravity with higher derivative corrections. We find that $$\mathcal {N} = 1$$ N = 1 supergravity with Riemann curvature square corrections and higher derivative matter chiral multiplets induces a non-trivial de Sitter vacuum, even in the absence of superpotentials. This vacuum generically breaks supersymmetry. We show that the auxiliary fields in the gravity and the chiral multiples play important roles to generate a potential in supersymmetric higher derivative theories.https://doi.org/10.1140/epjc/s10052-022-11137-8
spellingShingle Atsuki Inoue
Shin Sasaki
Vacua by derivative corrections in $$\mathcal {N} = 1$$ N = 1 supergravity with matter multiplets
European Physical Journal C: Particles and Fields
title Vacua by derivative corrections in $$\mathcal {N} = 1$$ N = 1 supergravity with matter multiplets
title_full Vacua by derivative corrections in $$\mathcal {N} = 1$$ N = 1 supergravity with matter multiplets
title_fullStr Vacua by derivative corrections in $$\mathcal {N} = 1$$ N = 1 supergravity with matter multiplets
title_full_unstemmed Vacua by derivative corrections in $$\mathcal {N} = 1$$ N = 1 supergravity with matter multiplets
title_short Vacua by derivative corrections in $$\mathcal {N} = 1$$ N = 1 supergravity with matter multiplets
title_sort vacua by derivative corrections in mathcal n 1 n 1 supergravity with matter multiplets
url https://doi.org/10.1140/epjc/s10052-022-11137-8
work_keys_str_mv AT atsukiinoue vacuabyderivativecorrectionsinmathcaln1n1supergravitywithmattermultiplets
AT shinsasaki vacuabyderivativecorrectionsinmathcaln1n1supergravitywithmattermultiplets