Noncommutative Solitons on Orbifolds

Abstract

In the noncommutative field theory of open strings in a B-field, D-branes arise as solitons described as projection operators or partial isometries in a C* algebra. We discuss how D-branes on orbifolds fit naturally into this algebraic framework, through the examples of Rn/G, Tn=Rn/Zn, and Tn/G. We also propose a framework for formulating D-branes on asymmetric orbifolds.

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