Boundary fermions and the plane wave

TL;DR

This paper constructs new supersymmetric branes in the plane wave background by including fermionic boundary fields, leading to integrable boundary conditions and revealing a maximally supersymmetric spacetime filling brane.

Contribution

It introduces a method to include fermionic boundary fields in brane constructions, resulting in new integrable and supersymmetric (n,n) branes in the plane wave background.

Findings

Deformed boundary conditions lead to new integrable branes.

The (4,4)-brane is maximally supersymmetric.

Boundary conditions preserve supersymmetry and integrability.

Abstract

We construct branes in the plane wave background under the inclusion of fermionic boundary fields. The resulting deformed boundary conditions in the bosonic and fermionic sectors give rise to new integrable and supersymmetric branes of type (n,n). The extremal case of the spacetime filling (4,4)-brane is shown to be maximally spacetime supersymmetric.