Open and Closed Supermembranes with Winding

TL;DR

This paper investigates the spectrum and algebraic structure of supermembranes with winding, emphasizing Lorentz symmetry and large-N limits, and explores implications for D0-brane dynamics and open supermembranes.

Contribution

It introduces a framework for analyzing supermembranes with winding, preserving Lorentz symmetry, and discusses the impact on the superalgebra and spectrum continuity.

Findings

Spectrum remains continuous regardless of winding.

Winding configurations lead to specific central charges in the superalgebra.

Open supermembranes have a distinct structural characterization.

Abstract

Motivated by manifest Lorentz symmetry and a well-defined large-N limit prescription, we study the supersymmetric quantum mechanics proposed as a model for the collective dynamics of D0-branes from the point of view of the 11-dimensional supermembrane. We argue that the continuity of the spectrum persists irrespective of the presence of winding around compact target-space directions and discuss the central charges in the superalgebra arising from winding membrane configurations. Along the way we comment on the structure of open supermembranes.