The Supersymmetric Stueckelberg Mass and Overcoming the Fayet-Iliopoulos Mechanism for Breaking Symmetry
S.V. Kuzmin, D.G.C. McKeon (University of Western Ontario)
TL;DR
This paper explores how a supersymmetric U(1) gauge field can acquire mass via a Stueckelberg superfield without breaking supersymmetry, even with a Fayet-Iliopoulos term, revealing a moduli space of spontaneous gauge symmetry breaking.
Contribution
It demonstrates that gauge-invariant mass generation through a Stueckelberg superfield can prevent supersymmetry breaking in the presence of a Fayet-Iliopoulos term.
Findings
Massive gauge fields can be generated without supersymmetry breaking.
A moduli space exists where gauge symmetry is spontaneously broken.
Supersymmetry remains unbroken when the Stueckelberg mass is non-zero.
Abstract
Gauge invariant generation of mass for supersymmetric U(1) vector field through use of a chiral Stueckelberg superfield is considered. When a Fayet-Iliopoulos D term is also present, no breaking of supersymmetry ever occurs so long as the Stueckelberg mass is not zero. A moduli space in which gauge symmetry is spontaneously broken arises in this case.
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