Open M2-branes with Flux and Modified Basu-Harvey Equation

TL;DR

This paper extends the supersymmetric actions of M2-branes with flux to open configurations, deriving boundary conditions and a modified Basu-Harvey equation, revealing new features in fuzzy funnel solutions.

Contribution

It introduces the open M2-brane framework with flux, deriving boundary conditions and a modified Basu-Harvey equation, expanding on previous closed-brane models.

Findings

Derived boundary conditions for open M2-branes with flux

Formulated the modified Basu-Harvey equation in flux backgrounds

Discovered new features in fuzzy funnel solutions with flux

Abstract

The supersymmetric actions of closed multiple M2 branes with flux for the BL and the ABJM theories have been constructed recently by Lambert and Richmond in \cite{LR}. In this paper we extend the construction to the case of open M2-branes with flux and derive the boundary conditions. This allows us to derive the modified Basu-Harvey equation in the presence of flux. As an example, we consider the Lorentzian BL model. A new feature of the fuzzy funnel solution describing a D2-D4 intersection is obtained as a result of the flux.