Localization of heterotic anomalies on various hyper surfaces of T^6/Z_4

TL;DR

This paper analyzes the structure of local anomalies in heterotic E8 x E8' theory on T^6/Z_4, demonstrating anomaly factorization across multiple dimensions and the simultaneous cancellation of these anomalies.

Contribution

It reveals how anomalies in various dimensions factorize universally and can be canceled simultaneously in heterotic orbifold compactifications.

Findings

Anomalies in ten, six, and four dimensions are identified.

Twisted states ensure anomaly factorization at fixed spaces.

Logarithmically divergent Fayet–Ilopoulos tadpoles are generated at four-dimensional fixed points.

Abstract

We investigate the structure of local anomalies of heterotic E_8 x E_8' theory on T^6/Z_4. We show that the untwisted states lead to anomalies in ten, six and four dimensions. At each of the six dimensional fixed spaces of this orbifold the twisted states ensure, that the anomalies factorize separately. As some of these twisted states live on T^2/Z_2, they give rise to four dimensional anomalies as well. At all four dimensional fixed points at worst a single Abelian anomaly can arise. Since the anomalies in all these dimensions factorize in a universal way, they can be canceled simultaneously. In addition, we show that for all U(1) factors at the four dimensional fixed points at least logarithmically divergent Fayet--Ilopoulos tadpoles are generated.