Scherk-Schwarz twist in 5D conformal SUGRA
Hiroyuki Abe, Yutaka Sakamura
TL;DR
This paper reinterprets the Scherk-Schwarz boundary condition in 5D conformal supergravity, revealing its equivalence to boundary superpotentials and clarifying the role of the compensator hypermultiplet.
Contribution
It provides a new understanding of the SS twist in 5D conformal supergravity by linking it to twisted gauge fixing and boundary superpotentials.
Findings
The SS twist is equivalent to boundary constant superpotentials.
Only the compensator hypermultiplet is relevant to the SS twist.
The properties of the SS mechanism are clarified in the conformal supergravity framework.
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 equivalence between the SS twist and boundary constant superpotentials at the full supergravity level.
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