One-loop Regularization of Supergravity II: The Dilaton and the Superfield Formulation

TL;DR

This paper extends one-loop supergravity regularization to include dilatons, providing a superfield formulation, analyzing anomalies, and discussing how to maintain invariance under gauge and duality transformations.

Contribution

It introduces a superfield approach to one-loop supergravity regularization with dilatons, addressing anomalies and invariance under gauge and duality symmetries.

Findings

Superfield structure of one-loop corrections is established.

Field theory anomalies and supersymmetry breaking contributions are analyzed.

Kähler potential renormalization can be made invariant under gauge and duality groups.

Abstract

The on-shell regularization of the one-loop divergences of supergravity theories is generalized to include a dilaton of the type occurring in effective field theories derived from superstring theory, and the superfield structure of the one-loop corrections is given. Field theory anomalies and quantum contributions to soft supersymmetry breaking are discussed. The latter are sensitive to the precise choice of couplings that generate Pauli-Villars masses, which in turn reflect the details of the underlying theory above the scale of the effective cut-off. With a view to the implementation the Green-Schwarz and other mechanisms for canceling field theory anomalies under a U(1) gauge transformation and under the T-duality group of modular transformations, we show that the K\"ahler potential renormalization for the untwisted sector of orbifold compactification can be made invariant under these groups.