Pauli-Villars Regularization of Supergravity Coupled to Chiral and Yang-Mills Matter

TL;DR

This paper demonstrates that quadratic divergences in supergravity can be regularized using heavy Pauli-Villars fields, leading to a reinterpretation of one-loop corrections as Kähler potential renormalization, with implications for dilaton couplings.

Contribution

It introduces a Pauli-Villars regularization scheme for supergravity coupled to matter, providing insights into dilaton couplings and multiplet duality.

Findings

Quadratic divergences are regularized by heavy Pauli-Villars fields.

One-loop corrections are interpreted as Kähler potential renormalization.

Regularization affects dilaton coupling and duality considerations.

Abstract

It is shown that the one-loop quadratic divergences of standard supergravity can be regulated by the introduction of heavy Pauli-Villars fields belonging to chiral and abelian gauge multiplets. The resulting one-loop correction can be interpreted as a renormalization of the K\"ahler potential. Regularization of the dilaton couplings to the Yang-Mills sector requires special care, and may shed some light on chiral/linear multiplet duality of the dilaton supermultiplet.