Local Anomaly Cancellation, M-Theory Orbifolds and Phase-Transitions

TL;DR

This paper explores anomaly cancellation in M-theory orbifold compactifications, analyzing local solutions with various multiplets and phase transitions mediated by fivebranes converting into gauge instantons.

Contribution

It provides a detailed analysis of local anomaly matching conditions and introduces phase transitions involving fivebranes and gauge instantons in M-theory orbifolds.

Findings

Successful anomaly cancellation solutions identified

Phase transitions mediated by fivebranes described

Connections between fivebranes and gauge instantons established

Abstract

In this paper we consider orbifold compactifications of M-theory on $S^1/{\bf Z}_2\times T^4/{\bf Z}_2$. We discuss solutions of the local anomaly matching conditions by twisted vector, tensor and hypermultiplets confined on the local orbifold six-planes. In addition we consider phase-transitions among different solutions which are mediated by M-theory fivebranes which touch the local orbifold planes and are converted there to gauge instantons.