Anomalies from Immersions

TL;DR

This paper derives two types of anomalies for chiral spinors on submanifolds using the integrality theorem for immersions, including the standard and an exotic form relevant to string theory objects.

Contribution

It introduces a new exotic anomaly form for chiral spinors on submanifolds, expanding the understanding of anomalies in string theory contexts.

Findings

Standard chiral anomaly for D-brane and O-plane intersections

Discovery of an exotic anomaly form for chiral spinors

Application of the integrality theorem for immersions to anomaly analysis

Abstract

Two forms of anomalies for chiral spinors living on submanifolds of the spacetime are obtained from the integrality theorem for immersions. The first form of the chiral anomaly is the usual for chiral spinors living on D-brane and O-plane intersections, the second form is exotic.