The N=2 superconformal gravitino multiplet

2023/05/25 by Hutchings, Daniel, Kuzenko, Sergei M., Raptakis, Emmanouil S. N.
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2305.16029

Abstract

We propose a new gauge prepotential Υ_i describing the four-dimensional \mathcal N=2 superconformal gravitino multiplet. The former naturally arises via a superspace reduction of the \mathcal N=3 conformal supergravity multiplet. A locally superconformal chiral action for Υ_i, which is gauge-invariant in arbitrary conformally-flat backgrounds, is derived. This construction readily yields a new superprojector, which maps an isospinor superfield Ψ_i to a multiplet characterised by the properties of a conformal supercurrent associated with Υ_i. Our main results are also specialised to \mathcal N=2 anti-de Sitter superspace.

Related

• N=2 superconformal gravitino in harmonic superspace
• \cal N=2 Supergravities in Harmonic Superspace
• Covariant superspace approaches to \cal N=2 supergravity
• Gravitational Correspondence of Two Types of Superconformal Anomaly
• N=3 conformal superspace in four dimensions