$\mathcal{N}=2$ higher-spin theories and harmonic superspace

Abstract

A brief review of the harmonic superspace approach to the construction of $\mathcal{N}=2$ supersymmetric higher spin theories is given. We define off-shell analytic harmonic gauge potentials of $\mathcal{N}=2$ supersymmetric higher-spin multiplets and of $\mathcal{N}=2$ superconformal higher-spin multiplets for an arbitrary integer highest spin. The component contents of these $\mathcal{N}=2$ higher-spin supermultiplets are explicitly presented. We also construct their cubic couplings to the hypermultiplet. This short report summarizes the basic results of the series of published papers [1-3] as well as announces those of the forthcoming article [4].

0+12 pages, Contribution to the Proceedings of the International Conference on Particle Physics and Cosmology (professor V.A. Rubakov memorial conference), October 02-07, 2023, Yerevan, Armenia; V2: references added, typos corrected

References in corpus (6)

• Effective action in a higher-spin background
• Massive N=1 supermultiplets with arbitrary superspins
• Unconstrained off-shell superfield formulation of $4D,\mathcal{N}=2$ supersymmetric higher spins
• Extended superconformal higher-spin gauge theories in four dimensions
• $\mathcal{N}=2$ higher spins: superfield equations of motion, the hypermultiplet supercurrents, and the component structure
• Conformal interactions between matter and higher-spin (super)fields

Cited by in corpus (2)

• $\mathcal{N}=2$ superconformal gravitino in harmonic superspace
• Unfolded hypermultiplet in harmonic superspace