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

P. Bouwknegt; V. Mathai

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

P. Bouwknegt, V. Mathai

High Energy Physics - Theory · Submitted 2 Feb 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim 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.

how it is stated · speculative 0.37 read the record →

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.37 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.95 · mentions code or data availability 0.01.

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arXiv listing abstract v3. Results and the main claim are underlined; show every role.

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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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	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.	contribution 0.98	0.78	0.90	speculative 0.37
s1	In the case of B-fields whose curvature is pure torsion our description is shown to coincide with that of Witten.	result 0.97	0.83	0.07	asserted 1.00

What kind of paper the classifier reports this is: position or commentary 0.57 · evidence from proof or derivation 0.54.

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arXiv listing abstract v3

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

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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References

Forward citations

Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

T-Duality: Topology Change from H-flux
hep-th 2003-06 accept novelty 7.0 of 10

T-duality of a circle bundle exchanges the first Chern class with the fiber integral of the H-flux, and this exchange is an isomorphism of twisted K-theory and twisted cohomology.
(Non-)commutative closed string on T-dual toroidal backgrounds
hep-th 2012-11 conditional novelty 6.0 of 10

On a non-geometric Q-flux torus, closed string coordinates Z1 and Z2 obey [Z1,Z2] = -i(2pi^2/3) N^3 H in the coincident-point limit, proportional to flux times winding.
Non-Geometric Fluxes in Supergravity and Double Field Theory
hep-th 2012-04 conditional novelty 6.0 of 10

Rewriting the ten-dimensional NSNS action in T-dual variables makes the non-geometric Q and R fluxes explicit, with R a covariant field strength of the bi-vector and Q the antisymmetric part of a dual connection.
Twisted differential String and Fivebrane structures
math.AT 2009-10 conditional novelty 6.0 of 10

The Green-Schwarz mechanism and its magnetic dual are shown to be cocycles in twisted differential nonabelian cohomology, whose local L-infinity data reproduces the twisted Bianchi identities.
D-brane Deconstructions in IIB Orientifolds
hep-th 2008-05 accept novelty 6.0 of 10

The correct D3 charge, moduli count, and flux lattice dimension for singular D7-branes in IIB orientifolds are given by the topology of an auxiliary surface that resolves the double intersection with the O7-plane.

Show 2 more citing papers

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.
Tachyon Dynamics in Open String Theory
hep-th 2004-10 accept novelty 2.0 of 10

A comprehensive review of open string tachyon condensation argues that unstable D-brane dynamics is captured by an internally consistent open string field theory without explicit closed-string coupling.

How the literature uses it

26 arXiv papers cite this in 34 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 24 sentences without a confident label

Cites it as background 10 papers

In this case, it is well-known [ref] that one should replace spacetime $X$ by a noncommutative $C^*$-algebra $CT(X,H)$, the stable continuous trace $C^*$-algebra with spectrum $X$ and Dixmier-Douady invariant $H$ [ref] .

D-branes and bivariant K-theory · D-branes and $H$-flux · 0.82
The RR fields are classified by K-theory [ref] [ref] and are twisted by the NS fields leading to a twisted K-theory classification [ref] (see also [ref] ), in the sense of [ref] [ref] .

Geometric and topological structures related to M-branes · Introduction and Setting · 0.88
In the presence of a three-from NSNS background $[H] ∈H^3(X,)$, one can define a twisted K-theory group $K^∙_H(X)$ [ref] and a twisted cohomology group $H_H^∙(X)$ (the same as defined in section [ref]).

Ramond-Ramond Fields, Cohomology and Non-Geometric Fluxes · Discussion · 0.93

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