M5-branes in ABJM theory and Nahm equation

TL;DR

This paper constructs explicit BPS solutions for M2-M5 bound states in ABJM theory, linking them to an extended Nahm equation and revealing infinite conserved quantities.

Contribution

It introduces a novel correspondence between BPS solutions in ABJM theory and an extended Nahm equation, enabling new integrability insights.

Findings

Explicit M2-M5 bound state solutions in ABJM theory

One-to-one correspondence with an extended Nahm equation

Infinite conserved quantities from Lax form

Abstract

We construct BPS solutions representing M2-M5 bound state in the ABJM action explicitly. They include the funnel type solutions and 't Hooft Polyakov monopole solutions. Furthermore, we give a one to one correspondence between the solutions of the BPS equation and the ones of an extended Nahm equation which includes the Nahm equation. This enables us to construct infinitely many conserved quantities from the Lax form of the Nahm equation.