On the Stability of the Classical Vacua in a Minimal SU(5) 5-D Supergravity Model
G.A. Diamandis, B.C. Georgalas, P. Kouroumalou, A.B. Lahanas
TL;DR
This paper investigates the stability of vacua in a five-dimensional SU(5) supergravity model, revealing how gauging the $U(1)_R$ symmetry induces instabilities, with implications for supersymmetry and gauge symmetry breaking.
Contribution
It provides a detailed analysis of the scalar potential in a minimal SU(5) 5D supergravity model, highlighting the effects of $U(1)_R$ gauging on vacuum stability and symmetry breaking.
Findings
Gauging $U(1)_R$ causes instabilities in the scalar potential.
Stable vacua are Anti-de-Sitter with broken SU(5) and supersymmetry.
Ungauged $U(1)_R$ yields flat directions with unbroken supersymmetry.
Abstract
We consider a five-dimensional supergravity model with SU(5) gauge symmetry and the minimal field content. Studying the arising scalar potential we find that the gauging of the symmetry of the five-dimensional supergravity causes instabilities. Lifting the instabilities the vacua are of Anti-de-Sitter type and SU(5) is broken along with supersymmetry. Keeping the ungauged the potential has flat directions along which supersymmetry is unbroken.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.