Quantum Correction from Super-Weyl Transformation in Supergravity

TL;DR

This paper investigates quantum correction terms in Einstein-frame supergravity caused by super-Weyl transformations, focusing on calculating the one-loop Jacobian correction in superspace formalism.

Contribution

It provides a detailed calculation and representation of the full one-loop Jacobian correction term in $ abla=1, D=4$ superspace formalism, highlighting anomaly contributions.

Findings

Explicit calculation of the one-loop Jacobian correction

Representation of correction terms in superspace formalism

Clarification of anomaly origins in supergravity

Abstract

Einstein-frame supergravity is accompanied by quantum correction terms because of super-Weyl transformation. The correction term consists of the field strength terms that respectively originate from gauge, gravitational, and K\"ahler anomalies. In this paper, it is shown how the full-kind one-loop Jacobian correction term is calculated and represented in $\mathcal{N} = 1, D = 4$ superspace formalism.