D-branes on Calabi-Yau manifolds and helices

Alessandro Tomasiello

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D-branes on Calabi-Yau manifolds and helices

Alessandro Tomasiello

High Energy Physics - Theory · Submitted 24 Oct 2000

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

The authors' main claim We conjecture a new procedure which improves computationally the McKay correspondence and prove it in a non trivial example.

how it is stated · asserted 0.57 read the record →

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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, 2,893 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.18 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.38 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We investigate further on the correspondence between branes on a Calabi-Yau in the large volume limit and in the orbifold limit. We conjecture a new procedure which improves computationally the McKay correspondence and prove it in a non trivial example. We point out the relevance of helices and try to draw some general conclusions about Beilinson theorem and McKay correspondence.

background contribution method result interpretation main claim

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	We investigate further on the correspondence between branes on a Calabi-Yau in the large volume limit and in the orbifold limit.	contribution 0.66	0.78	0.08	asserted 0.68
s1	We conjecture a new procedure which improves computationally the McKay correspondence and prove it in a non trivial example.	contribution 0.92	0.92	0.46	asserted 0.57
s2	We point out the relevance of helices and try to draw some general conclusions about Beilinson theorem and McKay correspondence.	interpretation 0.68	0.80	0.23	hedged possibility 0.36

What kind of paper the classifier reports this is: theoretical result 0.62 · evidence from proof or derivation 0.97.

What was examined, and what was not

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arXiv listing abstract v3

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full text
figures and tables
references and citing sentences
relations to other papers

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P abstract

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S sections
T body sentences
C citations
R cross-paper relations

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 investigate further on the correspondence between branes on a Calabi-Yau in the large volume limit and in the orbifold limit. We conjecture a new procedure which improves computationally the McKay correspondence and prove it in a non trivial example. We point out the relevance of helices and try to draw some general conclusions about Beilinson theorem and McKay correspondence.

Human review

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References

Forward citations

Cited by 5 Pith papers

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

Matrix factorisations and D-branes on K3
hep-th 2006-03 accept novelty 7.0 of 10

A necessary condition for analytic deformation of matrix factorization D-branes on K3 is derived, and factorizations matching the T^4/Z4 orbifold are constructed.
Quantum Quivers and Hall/Hole Halos
hep-th 2002-06 accept novelty 7.0 of 10

Quiver quantum mechanics connects the multi-centered particle and single-centered D-brane pictures of BPS bound states, yielding exact ground-state degeneracies for Hall halos and dyon chains.
D-branes, Categories and N=1 Supersymmetry
hep-th 2000-11 conditional novelty 7.0 of 10

Topological D-branes on a Calabi-Yau are objects of the derived category of coherent sheaves, and the flow of their gradings across moduli space yields a criterion for which branes are BPS.
Brane Dimers and Quiver Gauge Theories
hep-th 2005-04 accept novelty 6.0 of 10

A periodic bipartite tiling of the plane, built from intersecting NS5 and D5 branes, encodes an N=1 quiver gauge theory and its dual toric Calabi-Yau geometry, computable from the determinant of a Kasteleyn matrix.
D-Branes on Calabi-Yau Manifolds
hep-th 2004-03 accept novelty 2.0 of 10

The review argues that B-branes on Calabi-Yau threefolds are best described by the derived category of coherent sheaves, with physical stability captured by Pi-stability and mirror symmetry relating this to the Fukaya...

How the literature uses it

4 arXiv papers cite this in 4 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 · 3 sentences without a confident label

Cites it as background 1 paper

This correspondence has been studied from a physical point of view analogous to ours in e.g. [ref] ; see also [ref] for a related description.

Instantons, Quivers and Noncommutative Donaldson-Thomas Theory · Intersection theory · 0.88

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