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Matrix Models, Monopoles and Modified Moduli

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Joshua Erlich, Sungho Hong, Mithat Unsal

High Energy Physics - Theory · Submitted 5 Dec 2003

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

The authors' main claim We demonstrate via the matrix model solutions a relation between vacua of theories with different numbers of colors and flavors.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/0312054 (version 1)
Pith IDL756DSEH, Pith's permanent record of this paper and its review
CitationJoshua Erlich, Mithat Unsal, Sungho Hong. "Matrix Models, Monopoles and Modified Moduli." arXiv:hep-th/0312054 (2003). https://pith.science/paper/L756DSEH
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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, 5,551 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.14 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.67 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

Motivated by the Dijkgraaf-Vafa correspondence, we consider the matrix model duals of N=1 supersymmetric SU(Nc) gauge theories with Nf flavors. We demonstrate via the matrix model solutions a relation between vacua of theories with different numbers of colors and flavors. This relation is due to an N=2 nonrenormalization theorem which is inherited by these N=1 theories. Specializing to the case Nf=Nc, the simplest theory containing baryons, we demonstrate that the explicit matrix model predictions for the locations on the Coulomb branch at which monopoles condense are consistent with the quantum modified constraints on the moduli in the theory. The matrix model solutions include the case that baryons obtain vacuum expectation values. In specific cases we check explicitly that these results are also consistent with the factorization of corresponding Seiberg-Witten curves. Certain results are easily understood in terms of M5-brane constructions of these 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 Motivated by the Dijkgraaf-Vafa correspondence, we consider the matrix model duals of N=1 supersymmetric SU(Nc) gauge theories with Nf flavors. background 0.59 0.59 0.04 asserted 0.67
s1 We demonstrate via the matrix model solutions a relation between vacua of theories with different numbers of colors and flavors. result 0.82 0.95 0.42 asserted 1.00
s2 This relation is due to an N=2 nonrenormalization theorem which is inherited by these N=1 theories. interpretation 0.96 0.31 0.16 asserted 1.00
s3 Specializing to the case Nf=Nc, the simplest theory containing baryons, we demonstrate that the explicit matrix model predictions for the locations on the Coulomb branch at which monopoles condense are consistent with the quantum modified constraints on the moduli in the theory. result 0.96 0.94 0.43 asserted 0.76
s4 The matrix model solutions include the case that baryons obtain vacuum expectation values. result 0.87 0.89 0.06 asserted 1.00
s5 In specific cases we check explicitly that these results are also consistent with the factorization of corresponding Seiberg-Witten curves. result 0.80 0.91 0.08 asserted 0.85
s6 Certain results are easily understood in terms of M5-brane constructions of these gauge theories. interpretation 1.00 0.35 0.04 asserted 0.64

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.97.

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  • references and citing sentences
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  • 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

Motivated by the Dijkgraaf-Vafa correspondence, we consider the matrix model duals of N=1 supersymmetric SU(Nc) gauge theories with Nf flavors. We demonstrate via the matrix model solutions a relation between vacua of theories with different numbers of colors and flavors. This relation is due to an N=2 nonrenormalization theorem which is inherited by these N=1 theories. Specializing to the case Nf=Nc, the simplest theory containing baryons, we demonstrate that the explicit matrix model predictions for the locations on the Coulomb branch at which monopoles condense are consistent with the quantum modified constraints on the moduli in the theory. The matrix model solutions include the case that baryons obtain vacuum expectation values. In specific cases we check explicitly that these results are also consistent with the factorization of corresponding Seiberg-Witten curves. Certain results are easily understood in terms of M5-brane constructions of these gauge theories.

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