One-Loop Pauli-Villars Regularization of Supergravity I: Canonical Gauge Kinetic Energy

TL;DR

This paper demonstrates a method to regulate one-loop divergences in supergravity using Pauli-Villars multiplets, analyzing anomaly structures and conditions on matter representations.

Contribution

It introduces a Pauli-Villars regularization scheme for supergravity with canonical gauge kinetic energy, addressing anomaly considerations and matter representation constraints.

Findings

One-loop coefficients can be regulated with Pauli-Villars multiplets.

Conditions on matter representations are necessary for consistent regularization.

The anomaly structure under global and gauge symmetries is analyzed.

Abstract

It is shown that the one-loop coefficients of on-shell operators of standard supergravity with canonical gauge kinetic energy can be regulated by the introduction of Pauli-Villars chiral and abelian gauge multiplets, subject to a condition on the matter representations of the gauge group. Aspects of the anomaly structure of these theories under global nonlinear symmetries and an anomalous gauge symmetry are discussed.