Regular Article - Theoretical Physics
Quintic constraints for multiplets and complete SUSY breaking
Department of Physics, Faculty of Science, Chulalongkorn University, Phayathai Road, Pathumwan, 10330, Bangkok, Thailand
2 Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National University, 71 Al-Farabi Ave., 050040, Almaty, Kazakhstan
3 Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Sorbonne Université, CNRS, 4 Place Jussieu, 75005, Paris, France
4 Department of Mathematical Sciences, University of Liverpool, L69 7ZL, Liverpool, UK
Accepted: 13 December 2021
Published online: 28 January 2022
We study real fifth-order superfield constraint for vector (and tensor) multiplet and derive most general solution describing complete supersymmetry breaking, and preserving a real scalar, two goldstini, and an abelian gauge field as low-energy degrees of freedom on which both supersymmetries are realized non-linearly. The surviving scalar is identified as an axion of a broken global abelian symmetry, while its scalar partner (saxion) is eliminated in terms of the goldstini. We provide an example of a UV model giving rise to the quintic constraint, and discuss the connection of this constraint and its solution to other known superfield constraints in and cases.
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