Fermionic Solutions of a Five-Dimensional Chern-Simons AdS Supergravity without Gravitino

Abstract

Based on recent discussions on the so-called unconventional supersymmetry, we analyze a class of solutions of a 5D Chern-Simons AdS-$\mathcal{N}$-SUGRA formulation without gravitino fields. With a Randall-Sundrum-type ansatz, we exploit the properties of Chern-Simons theories to find solutions to the fermionic field equations in a particular dimensional reduction context. We show that this specific dimensional reduction yields a non-trivial equation of motion for the fermionic field. We actually get a non-linear equation of motion for the fermionic fields, typical of models where torsion is present. This fermionic equation describes massive fermions with specific couplings with the bosonic supersymmetric degrees of freedom and we show that, in some specific limits, we can infer about the localization of the fermions' chirality components by means of the particular function that comes out to the dimensional reduction scheme.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1711.03220

References in corpus (15)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere
• Higher dimensional Chern-Simons supergravity
• Fermions in Kaluza-Klein and Randall-Sundrum Theories
• Local supersymmetry without SUSY partners
• Dynamical Contents of Unconventional Supersymmetry
• Supersymmetric 3D model for gravity with $SU(2)$ gauge symmetry, mass generation and effective cosmological constant
• Dynamical content of Chern-Simons Supergravity
• On twisted N=2 5D super Yang-Mills theory
• Hidden Conformal Symmetry in Randall-Sundrum 2 Model: Universal Fermion Localization by Torsion
• Dynamical Lorentz symmetry breaking in a 4D massless four-fermion model
• Charged solutions in 5d Chern-Simons supergravity
• On a Five-Dimensional Chern-Simons AdS Supergravity without gravitino
• Chern-Simons AdS_5 supergravity in a Randall-Sundrum background