M5-branes with 3/8 supersymmetry in pp-wave background

TL;DR

This paper constructs M5-branes in a pp-wave background, demonstrating they preserve half of the supersymmetries, aligning with recent findings on D-branes in similar backgrounds.

Contribution

It explicitly constructs M5-branes with 3/8 supersymmetry in pp-wave backgrounds and analyzes their Killing spinors, extending supersymmetry preservation results.

Findings

M5-branes preserve half of the background supersymmetries.

Explicit forms of standard and supernumerary Killing spinors are provided.

The supersymmetry preservation aligns with recent D-brane results.

Abstract

We construct M5-branes in pp-wave background and find that they preserve exactly half of the background pp-wave supersymmetries. We explicitly write down the standard as well as supernumerary Killing spinors and find that their respective numbers are also half of those for the pp-wave background. This is in line with the recent work of Dabholkar et.al. which shows half-supersymmetric D-branes can be constructed in Hpp-wave background.