Super-Weyl anomalies in N=2 supergravity and (non)local effective actions

TL;DR

This paper investigates super-Weyl anomalies in N=2 supergravity, constructing nonlocal effective actions and a local Wess-Zumino action to describe spontaneous symmetry breaking, with implications for superconformal symmetry and Goldstone supermultiplets.

Contribution

It introduces a formulation for N=2 conformal supergravity in SU(2) superspace and constructs new nonlocal and local effective actions related to super-Weyl anomalies.

Findings

Defined super-Weyl anomalies in N=2 supergravity

Constructed nonlocal effective actions generating these anomalies

Presented a local Wess-Zumino action for broken superconformal symmetry

Abstract

Using the formulation for N=2 conformal supergravity in SU(2) superspace, we define super-Weyl (or superconformal) anomalies and construct two types of nonlocal effective actions that generate these anomalies. We also present the local Wess-Zumino action for spontaneously broken N=2 superconformal symmetry, with the Goldstone supermultiplet identified with a reduced chiral superfield containing the dilaton and the axion among its components.