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Wall Crossing and M-theory

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Mina Aganagic, Hirosi Ooguri, Cumrun Vafa, Masahito Yamazaki

High Energy Physics - Theory · Submitted 8 Aug 2009

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

The authors' main claim The generating function of the D-brane bound states is expressed as a reduction of the square of the topological string partition function, in all chambers of the Kahler moduli space.

how it is stated · asserted 1.00 read the record →

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arXiv ID0908.1194 (version 1)
Pith ID72DYT3P5, Pith's permanent record of this paper and its review
CitationCumrun Vafa, Hirosi Ooguri, Masahito Yamazaki, Mina Aganagic. "Wall Crossing and M-theory." arXiv:0908.1194 (2009). https://pith.science/paper/72DYT3P5
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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, 3,042 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.40 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.10 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We study BPS bound states of D0 and D2 branes on a single D6 brane wrapping a Calabi-Yau 3-fold X. When X has no compact 4-cyles, the BPS bound states are organized into a free field Fock space, whose generators correspond to BPS states of spinning M2 branes in M-theory compactified down to 5 dimensions by a Calabi-Yau 3-fold X. The generating function of the D-brane bound states is expressed as a reduction of the square of the topological string partition function, in all chambers of the Kahler moduli space.

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 study BPS bound states of D0 and D2 branes on a single D6 brane wrapping a Calabi-Yau 3-fold X. contribution 0.96 0.86 0.07 asserted 0.95
s1 When X has no compact 4-cyles, the BPS bound states are organized into a free field Fock space, whose generators correspond to BPS states of spinning M2 branes in M-theory compactified down to 5 dimensions by a Calabi-Yau 3-fold X. result 0.91 0.65 0.26 asserted 1.00
s2 The generating function of the D-brane bound states is expressed as a reduction of the square of the topological string partition function, in all chambers of the Kahler moduli space. result 0.94 0.84 0.44 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.98.

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not examined
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  • references and citing sentences
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  • S sections
  • T body sentences
  • C citations
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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 study BPS bound states of D0 and D2 branes on a single D6 brane wrapping a Calabi-Yau 3-fold X. When X has no compact 4-cyles, the BPS bound states are organized into a free field Fock space, whose generators correspond to BPS states of spinning M2 branes in M-theory compactified down to 5 dimensions by a Calabi-Yau 3-fold X. The generating function of the D-brane bound states is expressed as a reduction of the square of the topological string partition function, in all chambers of the Kahler moduli space.

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References
How the literature uses it

36 arXiv papers cite this in 79 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 · 52 sentences without a confident label

Builds on it 1 paper
Compares with it 2 papers
  • [This is reminiscent of the situation in [ref] , where the analysis was simplified by moving to the locus where all the phases of central charges of the D2-D0 particles align.]

    BPS Graphs: From Spectral Networks to BPS Quivers · Definition · 0.91

  • The first factor in ([ref]) is strongly reminiscent of the partition function of (framed) Donaldson-Thomas invariants of the conifold [ref] .

    Gluing two affine Yangians of $\mathfrak{gl}_1$ · Geometric interpretation of framing and shifting via BPS partition function · 0.84

Cites it as background 20 papers

What it cites · 32 sentences without a confident label

Builds on 2 papers
  • In this paper we will generalize the results of [ref] to include the background dependence of the M-theory computation.

    M-theory and a Topological String Duality · Introduction · 1.00

  • In this final section, we point out that our M-theory viewpoint discussed in this paper allows us to derive, in the present context of D6, D2 and D0 degeneracies, the “semi-primitive" wall crossing formula of [ref] .

    Split States, Entropy Enigmas, Holes and Halos · Relation to the Denef-Moore formula · 0.87

Uses data or values from 3 papers
  • The topological string partition function is given by [ref] _top(q,Q_1,Q_2)=M(q) ( ∏_n=1^∞ (1-Q_1 q^n)^n ) ∏_k,n=1^∞ ( (1-q^n Q_1 Q_2^k ) (1-q^n Q_1^-1 Q_2^k)/(1-q^n-1 Q_2^k) (1-q^n+1 Q_2^k) )^n where $Q_1$ and $Q_2$ are the variables corresponding to $β_1$ and $β_2$.

    Matrix Models, Geometric Engineering and Elliptic Genera · A Non-toric Example · 0.83

  • N_β=±1^0=1, N_β=0^0=-2, and that all BPS states in 5 dimensions has no intrinsic spin [ref] .

    M-Theory and Topological Strings--I · Resolved conifold · 0.93

  • N_β=±1^0=1, N_β=0^0=-2, and that all BPS states in 5 dimensions has no intrinsic spin [ref] .

    M-Theory and Topological Strings--II · Resolved conifold · 0.93

Compares with 5 papers
Cites as background 9 papers
  • The relation between the GV invariants and DT invariants was suggested and formulated in [ref] , and its physical explanation was given in [ref] using the 4D/5D connection [ref] .

    Quantum Foam and Topological Strings · Introduction · 0.84

  • The relation between the GV invariants and DT invariants was suggested and formulated in [ref] , and its physical explanation was given in [ref] using the 4D/5D connection [ref] .

    New Connections Between 4D and 5D Black Holes · Introduction · 0.84

  • The relation between the GV invariants and DT invariants was suggested and formulated in [ref] , and its physical explanation was given in [ref] using the 4D/5D connection [ref] .

    M-theory and a Topological String Duality · Introduction · 0.84

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