Supersymmetric action for multiple D0-brane system

TL;DR

This paper constructs a complete supersymmetric action for multiple D0-branes in flat 10D type IIA superspace, incorporating local worldline supersymmetry and coupling to supergravity, advancing the understanding of multiple brane dynamics.

Contribution

It introduces a new complete action for multiple D0-branes with local supersymmetry, utilizing the spinor moving frame technique, and compares it with previous models.

Findings

Achieved a supersymmetric action invariant under spacetime and worldline supersymmetry.

Demonstrated the coupling of the 1D SU(N) SYM model to supergravity.

Highlighted differences with prior multiple 0-brane and M-wave actions.

Abstract

We have constructed a complete action for the system of N D0-branes in flat 10D type IIA superspace. It is invariant under the rigid spacetime supersymmetry and local worldline supersymmetry ($\kappa$-symmetry). This latter can be considered as supersymmetry of maximal 1d SU(N) SYM model which is made local by coupling to supergravity induced by embedding of the center of energy worldline into the target superspace. The spinor moving frame technique is essentially used to achieve such a coupling. We discuss the differences with Panda-Sorokin multiple 0-brane action and with the dimensionally reduced 11D multiple M-wave action.