Five-dimensional vector multiplets in arbitrary signature

L. Gall, T. Mohaupt*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We start developing a formalism which allows to construct supersymmetric theories systematically across space-time signatures. Our construction uses a complex form of the supersymmetry algebra, which is obtained by doubling the spinor representation. This allows one to partially disentangle the Lorentz and R-symmetry group and generalizes symplectic Majorana spinors. For the case where the spinor representation is complex-irreducible, the R-symmetry only acts on an internal multiplicity space, and we show that the connected groups which occur are SO(2), SO0(1, 1), SU(2) and SU(1, 1). As an application we construct the off-shell supersymmetry transformations and supersymmetric Lagrangians for five-dimensional vector multiplets in arbitrary signature (t, s). In this case the R-symmetry groups are SU(2) or SU(1, 1), depending on whether the spinor representation carries a quaternionic or para-quaternionic structure. In Euclidean signature the scalar and vector kinetic terms differ by a relative sign, which is consistent with previous results in the literature and shows that this sign flip is an inevitable consequence of the Euclidean supersymmetry algebra.

Original languageEnglish
Article number53
JournalJournal of High Energy Physics
Volume2018
Issue number9
DOIs
Publication statusPublished - 1 Sept 2018

Bibliographical note

Publisher Copyright:
© 2018, The Author(s).

Keywords

  • Extended Supersymmetry
  • Space-Time Symmetries
  • String Duality

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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