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Massless higher-spin supermultiplets in 5D harmonic superspace

Evgeny I. Buchbinder, Sergei M. Kuzenko, Igor B. Samsonov

Abstract

Off-shell actions for massless higher-spin $\mathcal{N}=1$ supermultiplets in five dimensions (5D) are constructed in harmonic superspace in terms of unconstrained prepotentials. Cubic couplings of these supermultiplets to the $q$-hypermultiplet are derived. We also provide a detailed derivation of the unconstrained prepotential for the 5D Weyl supermultiplet which has been used within the conformal superspace approach to $\mathcal{N}=1$ supergravity-matter systems.

Massless higher-spin supermultiplets in 5D harmonic superspace

Abstract

Off-shell actions for massless higher-spin supermultiplets in five dimensions (5D) are constructed in harmonic superspace in terms of unconstrained prepotentials. Cubic couplings of these supermultiplets to the -hypermultiplet are derived. We also provide a detailed derivation of the unconstrained prepotential for the 5D Weyl supermultiplet which has been used within the conformal superspace approach to supergravity-matter systems.

Paper Structure

This paper contains 37 sections, 241 equations, 1 table.

Table of Contents

  1. Introduction
  2. Comments on 5D superfield supergravity
  3. Linearized 5D minimal supergravity in harmonic superspace
  4. Prepotentials
  5. Unconstrained prepotentials
  6. Action for the linearized Poincaré supergravity
  7. Equations of motion
  8. Linearized super-Weyl tensor
  9. Hypermultiplet coupling
  10. Gauge-invariant cubic vertex
  11. Equations of motion and conserved currents
  12. Component structure of prepotentials
  13. Bosonic fields
  14. Fermionic fields
  15. Massless higher-spin supermultiplets
  16. ...and 22 more sections