The M5-brane on K3 x T^2

TL;DR

This paper analyzes the low energy effective theory of an M5-brane wrapped on a four-cycle in K3 x T^2, resolving mode counting issues and proposing some moduli become massive to match black hole entropy and anomaly considerations.

Contribution

It provides the equations of motion for the M5-brane on K3 x T^2 and resolves a previous puzzle in massless mode counting, suggesting some moduli are massive.

Findings

Resolved a mode counting puzzle from hep-th/9906094.

Proposed some moduli become massive to match black hole entropy.

Derived lowest order equations of motion for the wrapped M5-brane.

Abstract

We discuss the low energy effective theory of an M5-brane wrapped on a smooth holomorphic four-cycle of K3 x T^2, including the special case of T^6. In particular we give the lowest order equations of motion and resolve a puzzle concerning the counting of massless modes that was reported in hep-th/9906094. In order to find agreement with black hole entropy and anomaly inflow arguments we propose that some of the moduli become massive.