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arxiv: hep-th/0410288 · v1 · submitted 2004-10-29 · ✦ hep-th

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

classification ✦ hep-th
keywords chargecentralbranesbundleconsistencycsnwsupermembranearising
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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.

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