Matrix Quantum Mechanics for Supermembrane on AdS_{7} x S^{4}

TL;DR

This paper derives a matrix quantum mechanics model for a supermembrane on AdS_{7} x S^{4}, connecting it to D0-brane dynamics near D4-branes, advancing understanding of M-theory in curved backgrounds.

Contribution

It formulates a light-cone gauge matrix quantum mechanics for supermembranes on AdS_{7} x S^{4}, linking it to D-brane effective actions in curved spacetime.

Findings

Derived the matrix quantum mechanics action with large N U(N) symmetry.

Showed the action reproduces leading order '-expansion of D0-brane Born-Infeld action.

Established the interpretation as Matrix theory near D4-brane horizons.

Abstract

We explore the light-cone gauge formulation of a closed supermembrane on AdS_{7} x S^{4}. We obtain the action of matrix quantum mechanics with large N U(N) gauge symmetry for the light-cone supermembrane. We show that this action reproduces leading order terms in \alpha'-expansion of the non-abelian Born-Infeld action of N D0-branes propagating near the horizon of D4-branes. The matrix quantum mechanics obtained in this paper, therefore, has an interpretation as Matrix theory in the near-horizon of D4-branes.