The Supercharges of Eleven-dimensional Supergraviton on Gravitational Wave Background

TL;DR

This paper derives explicit expressions for the supercharges of eleven-dimensional supergravitons in a gravitational wave background, advancing understanding of supersymmetry in such curved spacetime configurations.

Contribution

It provides the first explicit, order-by-order calculation of supercharges in this setting, including a closed form up to fermion order $ heta^5$, linking to matrix quantum mechanics.

Findings

Explicit supercharge expressions up to $ heta^5$ order.

Connection to effective actions in matrix quantum mechanics.

Insights into supersymmetry in gravitational wave backgrounds.

Abstract

We find the explicit expression of the supercharges of eleven dimensional supergraviton on the background geometry of gravitational waves in asymptotically light-like compactified spacetime. We perform the calculations order by order in the fermions $\p$, while retaining all orders in bosonic degrees of freedom, and get the closed form up to $\p^5$ order. This should correspond to the supercharge of the effective action of (0+1)-dimensional matrix quantum mechanics for, at least, $v^4$ and $v^6$ order terms and their superpartners.