New nilpotent $\mathcal{N}=2$ superfields

Abstract

We propose new off-shell models for spontaneously broken local $\mathcal{N}=2$ supersymmetry, in which the supergravity multiplet couples to nilpotent Goldstino superfields that contain either a gauge one-form or a gauge two-form in addition to spin-1/2 Goldstone fermions and auxiliary fields. In the case of $\mathcal{N}=2$ Poincaré supersymmetry, we elaborate on the concept of twisted chiral superfields and present a nilpotent $\mathcal{N}=2$ superfield that underlies the cubic nilpotency conditions given in arXiv:1707.03414 in terms of constrained $\mathcal{N}=1$ superfields.

20 pages; V3: typos corrected

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Cited by in corpus (1)

• Two-form supergravity, superstring couplings, and Goldstino superfields in three dimensions