M-strings and Transverse Orbifold

TL;DR

This paper analyzes the partition function of a single M5-brane on a circle with an ADE transverse orbifold, revealing the modes involved and the conditions for M-string bound states to appear.

Contribution

It demonstrates that the partition function captures tensor multiplet and three-form field modes, and shows M-string bound states emerge only with momentum activation.

Findings

Partition function includes tensor multiplet and three-form modes.

M-string bound states appear only when momentum on the circle is non-zero.

Bound states correspond to pairs of simple roots in ADE types.

Abstract

We discuss the partition function of a single M5-brane on a circle with transverse orbifold of ADE type and show that the modes captured by the partition function are those of the tensor multiplet and the thee form field. We show that the bound states of M-strings corresponding to pair of simple roots appear, for all ADE, only when the momentum on the circle is turned on.