D-branes, B fields and twisted K theory

By P. Bouwknegt, Varghese Mathai. 2000

225 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/65fa20413497e996f494054f630f8c1ab2461a67

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Citations in the corpus

T-Duality: Topology Change from H-Flux (2003, background): “We first recall the definition of twisted K-theory, cf. [36, 37 ].”
D-brane Deconstructions in IIB Orientifolds (2008, background): “A sampling of papers on this topic is [90, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 117, 118, 119].”
Geometric cycles, index theory and twisted K-homology (2007, methodology): “(If ι is an embedding, this is the anomaly cancellation condition obtained by Freed and Witten in [26], (M, ι, ν, η,[E]) is referred to by physicists as a D-brane appeared in Type IIB string theory, see [26] [44][30][ 15 ].) (2) Different definitions of topological twisted K-homolog y were proposed ”
D branes on group manifolds and fusion rings (2002, background): “Geometrically, it has been conjectured that the charge group, in the large volume limit, should be given by the twisted K-theory of G [25–27].”
Dirichlet Branes and Mirror Symmetry (2009, background): “Some interesting extensions are to the case with non-zeroH-flux [55, 344], to the type I string (in which the bundles have real structure) [471], and to its generalizations to “orientifolds” [114, 244].”
Twisted K theory of differentiable stacks (2003, background): “Recently, motivated byD-branes in string theory, there has been a great deal of interest study of twistedK-theory [15,49,48,75].”
A Derivation of K theory from M theory (2000, background): “K-group KH (which can be defined straightforwardly [27] when H is torsion and less straightforwardly [37,38] when it is not).”
Overview of K theory applied to strings (2000, background): “This construction, in the M = ∞ limit, has the beautiful property, explained in [18],”