Eleven-dimensional massless superparticles and matrix theory spin-orbit couplings revisited

TL;DR

This paper investigates the dynamics of eleven-dimensional massless superparticles in a supergravity background, revealing fermionic spin-orbit couplings that match matrix theory calculations, and discusses non-perturbative effects.

Contribution

It provides a detailed comparison between supergravity probe actions and matrix theory, highlighting the agreement of spin-orbit couplings and the absence of non-perturbative corrections.

Findings

Fermionic contributions are identified as spin-orbit couplings.

Probe action expansion matches matrix theory results.

No non-perturbative corrections found in one-loop effective action.

Abstract

The classical probe dynamics of the eleven-dimensional massless superparticles in the background geometry produced by N source M-momenta is investigated in the framework of N-sector DLCQ supergravity. We expand the probe action up to the two fermion terms and find that the fermionic contributions are the spin-orbit couplings, which precisely agree with the matrix theory calculations. We comment on the lack of non-perturbative corrections in the one-loop matrix quantum mechanics effective action and its compatibility with the supergravity analysis.