Aspects of Conformal Supergravity

TL;DR

This paper explores the structure and spectrum of N-extended conformal supergravity in four dimensions, highlighting its relation to Einstein-Weyl supergravity and detailing its unique massless multiplet content.

Contribution

It provides a detailed analysis of the spectrum of N-extended conformal supergravity, including the identification of dipole-ghost and tripole-ghost multiplets, and clarifies their gauge symmetry properties.

Findings

Spectrum includes dipole-ghost graviton multiplet

Spectrum includes N-fold tripole-ghost gravitino multiplet

Enhanced gauge symmetries determine the massless spectrum

Abstract

In these lectures we discuss N-extended conformal supergravity and its spectrum in four dimensions. These theories can be considered as the massless limit of Einstein-Weyl supergravity and by taking into account their enhanced gauge symmetries, we derive their massless spectrum, which in general contains a dipole-ghost graviton multiplet and an N-fold tripole-ghost gravitino multiplet.