The supercharges of eleven-dimensional supergraviton on gravitational wave background

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 space-time. We perform the calculations order by order in the fermions ψ, while retaining all orders in bosonic degrees of freedom, and get the closed form up to ψ 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.