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D-branes, B-fields and twisted K-theory

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arxiv hep-th/0002023 v3 pith:BPFB7I3I submitted 2000-02-02 hep-th math.DGmath.KT

P. Bouwknegt , V. Mathai This is my paper · ORCID
classification hep-thmath.DGmath.KT
keywords b-fieldsk-theoryalgebrab-fieldcasechargesclassifiedcoincide
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In this note we propose that D-brane charges, in the presence of a topologically non-trivial B-field, are classified by the K-theory of an infinite dimensional C^*-algebra. In the case of B-fields whose curvature is pure torsion our description is shown to coincide with that of Witten.

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  1. Anyons on M5-Probes of Seifert 3-Orbifolds via Flux Quantization

    hep-th 2024-11 conditional novelty 4.0 of 10

    Choosing equivariant twistorial Cohomotopy as the flux quantization law on single M5-probes wrapped on a Z2-orbifold yields abelian anyonic quantum states on the orbifold fixed locus.

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