Pith. Sign in

RECORD

A Large N Duality via a Geometric Transition

PaperPDF from arXiv

data files

Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
X Bluesky LinkedIn Reddit Hacker News
F. Cachazo, K. Intriligator, C. Vafa

High Energy Physics - Theory · Submitted 9 Mar 2001

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

The authors' main claim This duality yields highly non-trivial exact results for the gauge theory.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv IDhep-th/0103067 (version 2)
Pith IDNKJEVT4K, Pith's permanent record of this paper and its review
CitationC. Vafa, F. Cachazo, K. Intriligator. "A Large N Duality via a Geometric Transition." arXiv:hep-th/0103067 (2001). https://pith.science/paper/NKJEVT4K
Claim paper

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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,926 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.31 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.81 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

We propose a large N dual of 4d, N=1 supersymmetric, SU(N) Yang-Mills with adjoint field \Phi and arbitrary superpotential W(\Phi). The field theory is geometrically engineered via D-branes partially wrapped over certain cycles of a non-trivial Calabi-Yau geometry. The large N, or low-energy, dual arises from a geometric transition of the Calabi-Yau, where the branes have disappeared and have been replaced by suitable fluxes. This duality yields highly non-trivial exact results for the gauge theory. The predictions indeed agree with expected results in cases where it is possible to use standard techniques for analyzing the strongly coupled, supersymmetric gauge theories. Moreover, the proposed large N dual provides a simpler and more unified approach for obtaining exact results for this class of supersymmetric gauge theories.

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 propose a large N dual of 4d, N=1 supersymmetric, SU(N) Yang-Mills with adjoint field \Phi and arbitrary superpotential W(\Phi). contribution 1.00 0.89 0.48 asserted 0.72
s1 The field theory is geometrically engineered via D-branes partially wrapped over certain cycles of a non-trivial Calabi-Yau geometry. method 0.93 0.51 0.05 asserted 1.00
s2 The large N, or low-energy, dual arises from a geometric transition of the Calabi-Yau, where the branes have disappeared and have been replaced by suitable fluxes. method 0.78 0.53 0.31 asserted 1.00
s3 This duality yields highly non-trivial exact results for the gauge theory. result 0.74 0.76 0.32 asserted 1.00
s4 The predictions indeed agree with expected results in cases where it is possible to use standard techniques for analyzing the strongly coupled, supersymmetric gauge theories. result 0.95 0.62 0.11 asserted 0.90
s5 Moreover, the proposed large N dual provides a simpler and more unified approach for obtaining exact results for this class of supersymmetric gauge theories. interpretation 0.74 0.70 0.29 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.90 · evidence from argument 0.50.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • 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 propose a large N dual of 4d, N=1 supersymmetric, SU(N) Yang-Mills with adjoint field \Phi and arbitrary superpotential W(\Phi). The field theory is geometrically engineered via D-branes partially wrapped over certain cycles of a non-trivial Calabi-Yau geometry. The large N, or low-energy, dual arises from a geometric transition of the Calabi-Yau, where the branes have disappeared and have been replaced by suitable fluxes. This duality yields highly non-trivial exact results for the gauge theory. The predictions indeed agree with expected results in cases where it is possible to use standard techniques for analyzing the strongly coupled, supersymmetric gauge theories. Moreover, the proposed large N dual provides a simpler and more unified approach for obtaining exact results for this class of supersymmetric gauge theories.

Human review

How Pith checks papers → · Full audit of this paper →

References
How later papers used it

49 later papers cite it

Evidence: substantial. 46 of the citing papers share no author with it, and 12 of those carry a confident label from Pith's citation classifier.

Pith read 18 of the 105 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

Uses its method or tool 2 of 10 papers with this label
How the literature uses it

48 arXiv papers cite this in 104 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 · 55 sentences without a confident label

Builds on it 1 paper
Uses its method or tool 10 papers
  • The analysis of the more interesting $SU(N)$ case along these lines requires the use of the Dijkgraaf-Vafa superpotential [ref] , which allows us to capture all the holomorphic data of the theory by means of a planar calculation in a matrix model, and of the generalized Konishi anomaly [ref] .

    Confining vacua in SQCD, the Konishi anomaly and the Dijkgraaf-Vafa superpotential · Introduction · 1.00

  • $∙$Another side of equality is the same integral, but treated differently: as Givental decomposition [ref] into a system of Gaussian models with the filling numbers $(N_1,…,N_r)$.

    The matrix model version of AGT conjecture and CIV-DV prepotential · Conclusion · 0.80

  • The analysis of the more interesting $SU(N)$ case along these lines requires the use of the Dijkgraaf-Vafa superpotential [ref] , which allows us to capture all the holomorphic data of the theory by means of a planar calculation in a matrix model, and of the generalized Konishi anomaly [ref] .

    Confinement and duality in supersymmetric gauge theories · Introductory remarks · 0.99

Compares with it 4 papers
  • As we discussed around diff we can define a bare scale parameter as $Λ̂= ρ_c /√(α' M)$, and then, to compare directly with with [ref] , let us also define $S=e^-t_∞- i ψ_∞$ and a “complex coupling” $2πα' α̃= -(j+i b)$.

    The unwarped, resolved, deformed conifold: fivebranes and the baryonic branch of the Klebanov-Strassler theory · The superpotential · 0.87

  • 8pt0pt + ∑_a ≠b 1Δ_aΔ_b ( S_aS_b(4S_a^2 + 11S_a S_b + 4S_b^2) 4(μ_a - μ_b)^4 - ∑_c ≠a_d ≠b S_a S_b(S_a + S_c)(S_b + S_d)2 (μ_a - μ_b)^2 (μ_a - μ_c) (μ_b - μ_d) - ∑_c ≠b S_aS_b(S_a+2S_b)(S_b+S_c) (μ_a - μ_b)^3 (μ_b - μ_c) ) These formulas reproduce and generalise various explicit results, available in the literature [ref] , in particular the cubic contribution coincides with the one obtained in [ref] by different methods.

    The matrix model version of AGT conjecture and CIV-DV prepotential · The case of $β= 1$ and genus zero: ordinary CIV-DV prepotential · 0.90

  • This is to be contrasted with the case of pure $𝒩 = 1$ $SU(N)$ gauge theory engineered from D5-branes wrapping a rigid $ℙ^1$ in a local Calabi-Yau 3-fold as in [ref] , where the corresponding volume modulus is non-dynamical.

    Instantons and SUSY breaking in F-theory · Introduction · 0.99

Cites it as support 1 paper
  • This chain of results, together with large $r$ duality [ref] , strongly supports a 6d version of the AGT correspondence by identifying generic chiral blocks of the elliptic Virasoro algebra with $ℝ^4×𝕋^2$ Nekrasov instanton partition functions.

    An elliptic Virasoro symmetry in 6d · Introduction · 0.96

Cites it as background 24 papers

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.