On supersymmetric Chern-Simons-type theories in five dimensions

Abstract

We present a closed-form expression for the supersymmetric non-Abelian Chern-Simons action in conventional five-dimensional N=1 superspace. Our construction makes use of the superform formalism to generate supersymmetric invariants. Similar ideas are applied to construct supersymmetric actions for off-shell supermultiplets with an intrinsic central charge. In particular, the large tensor multiplet is described in superspace for the first time.

26 pages; V2: comments added and typos corrected, published version

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• 5d Higgs Branch Localization, Seiberg-Witten Equations and Contact Geometry
• Superspace de Rham Complex and Relative Cohomology
• Effective actions in $\mathcal{N}$=1, D5 supersymmetric gauge theories: harmonic superspace approach
• Superforms in Five-Dimensional, $N=1$ Superspace
• All Chern-Simons Invariants of 4D, N = 1 Gauged Superform Hierarchies
• The action principle and the supersymmetrisation of Chern-Simons terms in eleven-dimensional supergravity
• Spinorial geometry, off-shell Killing spinor identities and higher derivative 5D supergravities
• $\mathcal{N}=2$ dilaton-Weyl multiplets in 5D and Nishino-Rajpoot supergravity off-shell
• Anomalies and Supersymmetry
• Five-dimensional non-Abelian supersymmetric Chern-Simons action in Projective Superspace