Scherk-Schwarz SUSY breaking from the viewpoint of 5D conformal supergravity
Hiroyuki Abe, Yutaka Sakamura
TL;DR
This paper reinterprets the Scherk-Schwarz supersymmetry breaking mechanism within 5D conformal supergravity, clarifying its relation to gauge fixing and superpotentials, thus providing a new perspective on SUSY breaking in higher dimensions.
Contribution
It offers a novel interpretation of Scherk-Schwarz SUSY breaking as a twisted gauge fixing in 5D conformal supergravity, linking it to constant superpotentials.
Findings
Scherk-Schwarz twist corresponds to a twisted SU(2)_U gauge fixing.
The SS mechanism is primarily influenced by the compensator hypermultiplet.
A clear correspondence between SS twist and constant superpotentials is established.
Abstract
We reinterpret the Scherk-Schwarz (SS) boundary condition for SU(2)_R in a compactified five-dimensional (5D) Poincare supergravity in terms of the twisted SU(2)_U gauge fixing in 5D conformal supergravity. In such translation, only the compensator hypermultiplet is relevant to the SS twist, and various properties of the SS mechanism can be easily understood. Especially, we show the correspondence between the SS twist and constant superpotentials within our framework.
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