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Note on a duality of topological branes

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Taro Kimura

High Energy Physics - Theory · Submitted 6 Jan 2014

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

The authors' main claim We show that these two descriptions are dual to each other through the Fourier transformation, and the brane partition function satisfies integrable equations in one and two dimensions.

how it is stated · asserted 1.00 read the record →

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arXiv ID1401.0956 (version 3)
Pith ID5D677MD7, Pith's permanent record of this paper and its review
CitationTaro Kimura. "Note on a duality of topological branes." arXiv:1401.0956 (2014). https://pith.science/paper/5D677MD7
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The compiled record

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, 2,936 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.05 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.09 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We show a duality of branes in the topological B-model by inserting two kinds of the non-compact branes simultaneously. We explicitly derive the integral formula for the matrix model partition function describing this situation, which correspondingly includes both of the characteristic polynomial and the external source. We show that these two descriptions are dual to each other through the Fourier transformation, and the brane partition function satisfies integrable equations in one and two dimensions.

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 show a duality of branes in the topological B-model by inserting two kinds of the non-compact branes simultaneously. contribution 0.66 0.95 0.73 asserted 1.00
s1 We explicitly derive the integral formula for the matrix model partition function describing this situation, which correspondingly includes both of the characteristic polynomial and the external source. contribution 0.45 0.96 0.10 asserted 1.00
s2 We show that these two descriptions are dual to each other through the Fourier transformation, and the brane partition function satisfies integrable equations in one and two dimensions. result 0.98 0.93 0.61 asserted 1.00

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

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not examined
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  • 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 show a duality of branes in the topological B-model by inserting two kinds of the non-compact branes simultaneously. We explicitly derive the integral formula for the matrix model partition function describing this situation, which correspondingly includes both of the characteristic polynomial and the external source. We show that these two descriptions are dual to each other through the Fourier transformation, and the brane partition function satisfies integrable equations in one and two dimensions.

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How the literature uses it

4 arXiv papers cite this in 10 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 · 8 sentences without a confident label

Builds on it 1 paper
  • We obtain a natural generalization of the results for the characteristic polynomial average with the source term [ref] and also the one-matrix polynomial ensemble [ref] .

    Characteristic Polynomials in Coupled Matrix Models · Polynomial ensemble · 0.98

Compares with it 1 paper

What it cites · 27 sentences without a confident label

Builds on 2 papers
  • Although this equivalence has been already pointed out for the Gaussian matrix model, as in [ref] , we can see that this symmetry even holds with a generic matrix potential $W(x)$.

    Topological Strings and Integrable Hierarchies · Matrix integral formula · 0.89

  • We can extend the duality formula ([ref]) for the inverse characteristic polynomial [ref] [equation] In this case a bifundamental bosonic field plays a similar role to the fermionic field, which is used to represent the characteristic polynomial in the numerator.

    Duality in random matrix ensembles for all Beta · Bosonic formula · 0.98

Uses the method or tool of 4 papers
Cites as background 3 papers
  • A brane is also introduced into the B-model, and its realization in terms of the matrix model was extensively investigated [ref] : There are seemingly two kinds of non-compact branes, which correspond to the characteristic polynomial and the external source in the matrix model.

    Topological Strings and Integrable Hierarchies · Introduction · 0.89

  • It is well known that the Riemann surface plays a crucial role in the topological B-model on Calabi–Yau threefolds, and this Riemann surface can be identified with the spectral curve appearing in the large $N$ limit of the matrix model [ref] .

    Matrix Models, Topological Strings, and Supersymmetric Gauge Theories · Introduction · 0.91

  • The exact low energy dynamics of $=2$ gauge theory, which is described by Seiberg–Witten theory, is solved by the world volume theory of D4-branes suspended between NS5-branes, and also an M5-brane, appearing in its M-theory lift [ref] .

    Solutions Of Four-Dimensional Field Theories Via M Theory · Discussion · 0.80

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