On 4D, ${\mathcal{N}=2}$ deformed vector multiplets and partial supersymmetry breaking in off-shell supergravity
Abstract
Electric and magnetic Fayet-Ilioupulous (FI) terms are used to engineer partial breaking of 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-K\"ahler sigma model in a symplectic frame admitting a holomorphic prepotential, with one compensating and one physical vector multiplet, the latter magnetically deformed.
Cite
@article{arxiv.2409.19034,
title = {On 4D, ${\mathcal{N}=2}$ deformed vector multiplets and partial supersymmetry breaking in off-shell supergravity},
author = {Gregory Gold and Saurish Khandelwal and Gabriele Tartaglino-Mazzucchelli},
journal= {arXiv preprint arXiv:2409.19034},
year = {2024}
}
Comments
77 pages (paper) + 14 pages (supplementary file)