We elaborate on the off-shell superspace construction of curvature-squared invariants in
minimal five-dimensional supergravity. This is described by the standard Weyl multiplet of …

A bstract We present for the first time the component structure of the supersymmetric
completions for all curvature-squared invariants of five-dimensional, off-shell (gauged) …

A bstract We elaborate on the structure of higher-spin\(\mathcal {N}\)= 2 supercurrent
multiplets in four dimensions. It is shown that associated with every conformal …

A bstract Three years ago, we proposed free off-shell models for\(\mathcal {N}\)= 2
superconformal higher-spin multiplets in arbitrary conformally flat backgrounds, constructed …

We propose a new gauge prepotential ϒ i describing the four-dimensional N= 2
superconformal gravitino multiplet. The former naturally arises via a superspace reduction of …

Using the harmonic superspace approach, we construct, at the linearized level, N= 2
supersymmetric curvatures generalizing scalar curvature, Ricci curvature and Weyl tensor …

A bstract We propose a new family of U (1) duality-invariant models for nonlinear\(\mathcal
{N}\)= 1 supersymmetric electrodynamics coupled to supergravity. It includes the Cribiori …

We develop a general formalism of duality rotations for N-extended superconformal gauge
multiplets in conformally flat backgrounds as an extension of the approach given in arXiv …

A bstract\(\mathcal {N}\)= 2 conformal supergravity in five dimensions is constructed via a
systematic off-shell reduction scheme from maximal conformal supergravity in six …

Abstract Basics of N= 2, 4 D conformal and Einstein supergravities in the harmonic
superspace approach are outlined. The crucial merit of this formulation is that the relevant off …