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Quivers via anomaly chains

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Roberto Casero, Enrico Trincherini (Milan Bicocca U.)

High Energy Physics - Theory · Submitted 12 Apr 2003

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

The authors' main claim We introduce chains of generalized Konishi anomalies to write the quadratic and cubic equations that constrain the resolvents of general affine and non-affine quiver gauge theories, and give a procedure to calculate all higher-order relations.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/0304123 (version 3)
Pith IDHCX7BWVJ, Pith's permanent record of this paper and its review
CitationEnrico Trincherini (Milan Bicocca U.), Roberto Casero. "Quivers via anomaly chains." arXiv:hep-th/0304123 (2003). https://pith.science/paper/HCX7BWVJ
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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, 3,683 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.20 · compares with prior results 0.84 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We study quivers in the context of matrix models. We introduce chains of generalized Konishi anomalies to write the quadratic and cubic equations that constrain the resolvents of general affine and non-affine quiver gauge theories, and give a procedure to calculate all higher-order relations. For these theories we also evaluate, as functions of the resolvents, VEV's of chiral operators with two and four bifundamental insertions. As an example of the general procedure we explicitly consider the two simplest quivers A2 and A1(affine), obtaining in the first case a cubic algebraic curve, and for the affine theory the same equation as that of U(N) theories with adjoint matter, successfully reproducing the RG cascade result.

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 quivers in the context of matrix models. background 0.79 0.84 0.03 asserted 0.87
s1 We introduce chains of generalized Konishi anomalies to write the quadratic and cubic equations that constrain the resolvents of general affine and non-affine quiver gauge theories, and give a procedure to calculate all higher-order relations. contribution 0.63 0.96 0.44 asserted 1.00
s2 For these theories we also evaluate, as functions of the resolvents, VEV's of chiral operators with two and four bifundamental insertions. contribution 0.56 0.94 0.08 asserted 1.00
s3 As an example of the general procedure we explicitly consider the two simplest quivers A2 and A1(affine), obtaining in the first case a cubic algebraic curve, and for the affine theory the same equation as that of U(N) theories with adjoint matter, successfully reproducing the RG cascade result. result 0.94 0.94 0.28 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.71 · evidence from proof or derivation 1.00.

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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

We study quivers in the context of matrix models. We introduce chains of generalized Konishi anomalies to write the quadratic and cubic equations that constrain the resolvents of general affine and non-affine quiver gauge theories, and give a procedure to calculate all higher-order relations. For these theories we also evaluate, as functions of the resolvents, VEV's of chiral operators with two and four bifundamental insertions. As an example of the general procedure we explicitly consider the two simplest quivers A2 and A1(affine), obtaining in the first case a cubic algebraic curve, and for the affine theory the same equation as that of U(N) theories with adjoint matter, successfully reproducing the RG cascade result.

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References
How the literature uses it

6 arXiv papers cite this in 11 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 · 7 sentences without a confident label

Builds on it 1 paper
  • With this modification the equations given in [ref] apply in our case as well.

    N=1 Geometries via M-theory · Generalized anomaly equations for linear quivers · 0.91

Compares with it 1 paper
  • In the simplest case of two gauge groups we can be completely explicit: in this case ([ref]) reduces to [equation] Using ([ref]) and comparing with the explicit expressions for the quadratic and cubic constraints given in [ref] , we find g_N-1(v) = ∑_k=1,2f_k(v)=1/32π^2∑_k=1,2 ⟨TrW'_k(Φ_k)-W'_k(v)/v-Φ_k_k α_k^α⟩, g_2N-1(v) = f_2(v)(2W'_1/3+W'_2/3) - f_1(v)(W'_1/3+2W'_2/3)+g_1(v)+g_2(v), where [equation] [equation]

    N=1 Geometries via M-theory · The $𝒩=1$ curve · 0.87

Cites it as background 1 paper

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