On Effective Action of Multiple M5-branes and ABJM Action

TL;DR

This paper derives a D4-brane-like effective action from multiple M5-branes within the ABJM framework, revealing coordinate-dependent gauge coupling and the presence of Nambu-Poisson structures, advancing understanding of M5-brane dynamics.

Contribution

It provides the first calculation of fluctuations around a classical multiple M5-brane solution in ABJM, uncovering a coordinate-dependent gauge coupling and hidden Nambu-Poisson structure.

Findings

Derived D4-brane-like action with spacetime-dependent gauge coupling

Identified Nambu-Poisson bracket structure in the solution

Highlighted the need for monopole operators for full M5-brane description

Abstract

We calculate the fluctuations from the classical multiple M5-brane solution of ABJM action which we found in the previous paper. We obtain D4-brane-like action but the gauge coupling constant depends on the spacetime coordinate. This is consistent with the expected properties of M5-brane action, although we will need to take into account the monopole operators in order to fully understand M5-branes. We also see that the Nambu-Poisson bracket is hidden in the solution.