Geometrical Superconformal Anomalies

TL;DR

This paper analyzes the structure of geometrical superconformal anomalies in N=1 supersymmetric theories on curved superspace, revealing their role in the local Callan-Symanzik equation and symmetry breaking.

Contribution

It provides a comprehensive all-orders analysis of superconformal anomalies in curved superspace for N=1 theories, including their impact on the Callan-Symanzik equation.

Findings

Anomalies contribute to the local Callan-Symanzik equation.

Explicit structure of anomalies determined to all orders in ar.

Insights into superconformal symmetry breaking in supersymmetric models.

Abstract

We determine the structure of geometrical superconformal anomalies for N=1 supersymmetric quantum field theories on curved superspace to all orders in h bar. For the massless Wess-Zumino model we show how these anomalies contribute to the local Callan-Symanzik equation which expresses the breakdown of superconformal symmetry in terms of the usual beta and gamma functions.