Anomaly cancellation in effective supergravity from the heterotic string with an anomalous U(1)

TL;DR

This paper demonstrates how specific regulator choices can cancel all conformal and chiral anomalies in an effective supergravity theory derived from heterotic string compactification with an anomalous U(1).

Contribution

It introduces a method using Pauli-Villars regulators to achieve anomaly cancellation in heterotic string effective theories with anomalous U(1).

Findings

All conformal anomalies are canceled.

All chiral anomalies are canceled.

Method applies to Z_3 compactification with Wilson lines.

Abstract

We show that a choice of Pauli-Villars regulators allows the cancellation of all conformal and chiral anomalies in an effective field theory from Z_3 compactification of the heterotic string with two Wilson lines and an anomalous U(1).