On 4D, ${\mathcal{N}=2}$ deformed vector multiplets and partial supersymmetry breaking in off-shell supergravity

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Hauptverfasser: Gold, Gregory, Khandelwal, Saurish, Tartaglino-Mazzucchelli, Gabriele
Format: Preprint
Veröffentlicht: 2024
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author Gold, Gregory
Khandelwal, Saurish
Tartaglino-Mazzucchelli, Gabriele
author_facet Gold, Gregory
Khandelwal, Saurish
Tartaglino-Mazzucchelli, Gabriele
contents Electric and magnetic Fayet-Ilioupulous (FI) terms are used to engineer partial breaking of ${\mathcal{N}=2}$ global supersymmetry for systems of vector multiplets. The magnetic FI term induces a deformation of the off-shell field transformations associated with an imaginary constant shift of the triplet of auxiliary fields of the vector multiplet. In this paper, we elaborate on the deformation of off-shell vector multiplets in supergravity, both in components and superspace. In a superconformal framework, the deformations are associated with (composite) linear multiplets. We engineer an off-shell model that exhibits partial local supersymmetry breaking with a zero cosmological constant. This is based on the hyper-dilaton Weyl multiplet introduced in arXiv:2203.12203, coupled to the SU(1,1)/U(1) special-Kähler sigma model in a symplectic frame admitting a holomorphic prepotential, with one compensating and one physical vector multiplet, the latter magnetically deformed.
format Preprint
id arxiv_https___arxiv_org_abs_2409_19034
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On 4D, ${\mathcal{N}=2}$ deformed vector multiplets and partial supersymmetry breaking in off-shell supergravity
Gold, Gregory
Khandelwal, Saurish
Tartaglino-Mazzucchelli, Gabriele
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
Electric and magnetic Fayet-Ilioupulous (FI) terms are used to engineer partial breaking of ${\mathcal{N}=2}$ global supersymmetry for systems of vector multiplets. The magnetic FI term induces a deformation of the off-shell field transformations associated with an imaginary constant shift of the triplet of auxiliary fields of the vector multiplet. In this paper, we elaborate on the deformation of off-shell vector multiplets in supergravity, both in components and superspace. In a superconformal framework, the deformations are associated with (composite) linear multiplets. We engineer an off-shell model that exhibits partial local supersymmetry breaking with a zero cosmological constant. This is based on the hyper-dilaton Weyl multiplet introduced in arXiv:2203.12203, coupled to the SU(1,1)/U(1) special-Kähler sigma model in a symplectic frame admitting a holomorphic prepotential, with one compensating and one physical vector multiplet, the latter magnetically deformed.
title On 4D, ${\mathcal{N}=2}$ deformed vector multiplets and partial supersymmetry breaking in off-shell supergravity
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
url https://arxiv.org/abs/2409.19034