ABSTRACT

We discuss the consistency of the https://www.w3.org/1998/Math/MathML"> D = 11 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429076619/c00d8d0d-b3a0-431a-a3c2-e044ea15f7a5/content/eq7986.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> supermembranes with non zero central charge arising from a nontrivial winding CSNW. The spectrum of its regularized Hamiltonian is discrete ans its heat kernel in terms of a Feynman formula may be rigorously constructed. The N→∞ 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 type IIA picture as a bundle of D2 branes with n units of D0 charges induced by a nonconstant magnetic flux.