Perturbative Anomalies of the M-5-brane

TL;DR

This paper explores mechanisms to cancel anomalies in the M-5-brane within M-theory, focusing on conditions on the 11-dimensional manifold and the 4-form field strength to ensure anomaly cancellation.

Contribution

It identifies specific conditions on the manifold and field strength necessary for anomaly cancellation in M-5-branes, advancing understanding of anomaly mechanisms in M-theory.

Findings

Two anomaly cancellation mechanisms identified

Conditions on the 11D manifold and 4-form field strength established

Enhances consistency conditions for M-theory with 5-branes

Abstract

We discuss several mechanisms to cancel the anomalies of a 5-brane embedded in M-theory. Two of them work, provided we impose suitable conditions either on the 11-dimensional manifold of M-theory or on the 4-form field strength of M-theory.