On Five-dimensional Superspaces
Sergei M. Kuzenko, William D. Linch III

TL;DR
This paper develops a manifestly supersymmetric 5D superspace formalism with eight supercharges, simplifying calculations and enabling new model building in five-dimensional supersymmetric theories.
Contribution
It introduces a new supergraph-compatible formalism for 5D supersymmetric theories that maintains 4D N=1 supersymmetry manifestly, facilitating higher-loop calculations and model construction.
Findings
Formulation of a 5D superspace with manifest supersymmetry.
Derivation of rules to reduce 5D actions to hybrid 4D N=1 form.
Construction of off-shell 5D supersymmetric nonlinear sigma-models.
Abstract
Recent one-loop calculations of certain supergravity-mediated quantum corrections in supersymmetric brane-world models employ either the component formulation (hep-th/0305184) or the superfield formalism with only half of the bulk supersymmetry manifestly realized (hep-th/0305169 and hep-th/0411216). There are reasons to expect, however, that 5D supergraphs provide a more efficient setup to deal with these and more involved (in particular, higher-loop) calculations. As a first step toward elaborating such supergraph techniques, we develop in this letter a manifestly supersymmetric formulation for 5D globally supersymmetric theories with eight supercharges. Simple rules are given to reduce 5D superspace actions to a hybrid form which keeps manifest only the 4D, N=1 Poincare supersymmetry. (Previously, such hybrid actions were carefully worked out by rewriting the component actions in…
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