Classical BPS M5-brane on the plane wave background

TL;DR

This paper constructs explicit BPS solutions for a single M5-brane on a plane-wave background, revealing rotating ellipsoidal five-branes with angular momentum, and proposes a method to connect these solutions to dual gauge theories.

Contribution

It introduces a new family of BPS solutions for M5-branes on plane-wave backgrounds, including rotating ellipsoidal configurations, and suggests a strategy for linking these to BPS sectors in dual gauge theories.

Findings

Found explicit BPS solutions describing rotating ellipsoidal M5-branes.

Demonstrated the solutions carry non-zero angular momentum.

Proposed a method to relate BPS solutions to dual gauge theory sectors.

Abstract

We consider the bosonic theory for a single M5-brane on the plane-wave background and derive a family of BPS solutions with non-zero components of the angular momentum. By explicit construction of a BPS solution, we find the solution describes an ellipsoidal five-brane rotating without changing its shape. The methodology developed in this paper is expected to provide a strategy for obtaining the BPS solutions that correspond to a BPS sector in the dual gauge theory, such as the BMN matrix model.