The supermembrane with central charge as a bundle of D2-D0 branes

TL;DR

This paper analyzes the supermembrane with central charge, demonstrating its discrete spectrum and establishing its equivalence to a noncommutative gauge theory, thereby confirming its quantum consistency and interpreting it as a bundle of D2-D0 branes.

Contribution

It proves the quantum consistency of supermembranes with central charge and links them to noncommutative gauge theories and D-brane configurations.

Findings

Spectrum of the regularized Hamiltonian is discrete

Heat kernel can be rigorously constructed

Supermembrane with central charge corresponds to D2-D0 brane bundle

Abstract

We discuss the consistency of the D=11 supermembranes with non zero central charge arising from a nontrivial winding CSNW. The spectrum of its regularized Hamiltonian is discrete and its heat kernel in terms of a Feynman formula may be rigorously constructed. The $N\to\infty$ limit is discussed. Since CSNW is equivalent to a noncommutative supersymmetric gauge theory on a general Riemann surface, its consistency provides a proof that all of them are well defined quantum theories. We interpret the supermembrane with central charge $n$, in the type IIA picture, as a bundle of D2 branes with $n$ units of D0 charge induced by a nonconstant magnetic flux.