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D-brane charge, flux quantisation and relative (co)homology

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J.M. Figueroa-O'Farrill, S. Stanciu

High Energy Physics - Theory · Submitted 3 Aug 2000

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

The authors' main claim Therefore we conclude that for topologically nontrivial B-fields, there is strictly speaking no U(1) gauge field on the D-submanifold.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/0008038 (version 2)
Pith IDMBXUBKWA, Pith's permanent record of this paper and its review
CitationJ.M. Figueroa-O'Farrill, S. Stanciu. "D-brane charge, flux quantisation and relative (co)homology." arXiv:hep-th/0008038 (2000). https://pith.science/paper/MBXUBKWA
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,927 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.75 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.73 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We reconsider the problem of U(1) flux and D0-charge for D-branes in the WZW model and investigate the relationship between the different definitions that have been proposed recently. We identify the D0-charge as a particular reduction of a class in the relative cohomology of the group modulo the D-submanifold. We investigate under which conditions this class is equivalent to the first Chern class of a line bundle on the D-submanifold and we find that in general there is an obstruction given by the cohomology class of the NS 3-form. Therefore we conclude that for topologically nontrivial B-fields, there is strictly speaking no U(1) gauge field on the D-submanifold. Nevertheless the ambiguity in the flux is not detected by the D0-charge. This has a natural interpretation in terms of gerbes.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We reconsider the problem of U(1) flux and D0-charge for D-branes in the WZW model and investigate the relationship between the different definitions that have been proposed recently. contribution 0.58 0.80 0.04 asserted 0.54
s1 We identify the D0-charge as a particular reduction of a class in the relative cohomology of the group modulo the D-submanifold. result 0.70 0.93 0.14 asserted 1.00
s2 We investigate under which conditions this class is equivalent to the first Chern class of a line bundle on the D-submanifold and we find that in general there is an obstruction given by the cohomology class of the NS 3-form. result 0.96 0.93 0.19 asserted 1.00
s3 Therefore we conclude that for topologically nontrivial B-fields, there is strictly speaking no U(1) gauge field on the D-submanifold. result 0.86 0.86 0.52 asserted 1.00
s4 Nevertheless the ambiguity in the flux is not detected by the D0-charge. result 0.98 0.84 0.16 asserted 1.00
s5 This has a natural interpretation in terms of gerbes. interpretation 1.00 0.45 0.06 asserted 0.96

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.96.

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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

We reconsider the problem of U(1) flux and D0-charge for D-branes in the WZW model and investigate the relationship between the different definitions that have been proposed recently. We identify the D0-charge as a particular reduction of a class in the relative cohomology of the group modulo the D-submanifold. We investigate under which conditions this class is equivalent to the first Chern class of a line bundle on the D-submanifold and we find that in general there is an obstruction given by the cohomology class of the NS 3-form. Therefore we conclude that for topologically nontrivial B-fields, there is strictly speaking no U(1) gauge field on the D-submanifold. Nevertheless the ambiguity in the flux is not detected by the D0-charge. This has a natural interpretation in terms of gerbes.

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References
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5 arXiv papers cite this in 6 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 · 5 sentences without a confident label

Cites it as background 1 paper
  • For a discussion see references [ref] .] can be defined as the first Chern class of the bundle $V$ with field strength $F$, q ≡ 1 2π ∫_T^2 tr F_89 = m + n 2π ∫_T^2 B_89 .

    Comments on Orientifolds without Vector Structure · Relation to the $B$-flux · 0.88

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