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Brane webs in the presence of an $O5^-$-plane and 4d class S theories of type D

High Energy Physics - Theory · Submitted 30 Jan 2016

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

The authors' main claim In this article we conjecture a relationship between 5d SCFT's, that can be engineered by 5-brane webs in the presence of an $O5^-$-plane, and 4d class S theories of type D.

how it is stated · speculative 1.00 read the record →

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arXiv ID1602.00130 (version 2)
Pith IDCOUG7FZN, Pith's permanent record of this paper and its review
CitationGabi Zafrir. "Brane webs in the presence of an $O5^-$-plane and 4d class S theories of type D." arXiv:1602.00130 (2016). https://pith.science/paper/COUG7FZN
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,174 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.21 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.11 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

In this article we conjecture a relationship between 5d SCFT's, that can be engineered by 5-brane webs in the presence of an $O5^-$-plane, and 4d class S theories of type D. The specific relation is that compactification on a circle of the former leads to the latter. We present evidence for this conjecture. One piece of evidence, which is also an interesting application of this, is that it suggests identifications between different class S theories. This can in turn be tested by comparing their central charges.

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 In this article we conjecture a relationship between 5d SCFT's, that can be engineered by 5-brane webs in the presence of an $O5^-$-plane, and 4d class S theories of type D. contribution 0.98 0.54 0.66 speculative 1.00
s1 The specific relation is that compactification on a circle of the former leads to the latter. contribution 0.79 0.17 0.48 asserted 0.99
s2 We present evidence for this conjecture. contribution 0.99 0.87 0.09 asserted 0.99
s3 One piece of evidence, which is also an interesting application of this, is that it suggests identifications between different class S theories. interpretation 0.83 0.34 0.07 hedged possibility 0.99
s4 This can in turn be tested by comparing their central charges. future work 0.52 0.14 0.05 hedged possibility 0.51

What kind of paper the classifier reports this is: theoretical result 0.58 · evidence from argument 0.86.

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  • references and citing sentences
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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

In this article we conjecture a relationship between 5d SCFT's, that can be engineered by 5-brane webs in the presence of an $O5^-$-plane, and 4d class S theories of type D. The specific relation is that compactification on a circle of the former leads to the latter. We present evidence for this conjecture. One piece of evidence, which is also an interesting application of this, is that it suggests identifications between different class S theories. This can in turn be tested by comparing their central charges.

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References
How the literature uses it

13 arXiv papers cite this in 24 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 · 13 sentences without a confident label

Builds on it 1 paper
  • It should be possible to use the result of [ref] , and lift the class S construction for the $4d$ $N=2$ $(8)$ SCFTs with spinor matter given in [ref] to $5d$ to get brane web descriptions also for cases [ref] and [ref].

    Classification of 5d N=1 gauge theories · $(8)$: · 0.84

Uses its method or tool 1 paper
Cites it as background 8 papers

What it cites · 33 sentences without a confident label

Builds on 3 papers
  • One interesting implication of this is a generalization of the dualities in [ref] also to $SO$ or $USp$ gauge theories.

    Redeeming Bad Theories · Brane motions and free hypermultiplets · 0.93

  • The preceding imply that these two are identical up to a free twisted hyper, and indeed this is just an application of the previous duality of [ref] to the central node.

    Tests of Seiberg-like Duality in Three Dimensions · Brane motions and free hypermultiplets · 0.89

  • This leads to $5d$ lifts of Gaiotto dualities, similar to the cases studied in [ref] for the $A$ type theories.

    Lifting 4d dualities to 5d · SCFT's with marginal deformations · 0.80

Compares with 3 papers
  • All the class S theories of type $D_4$ were analyzed in [ref] , and their results indeed agree with our expectation from the $5d$ SCFT.

    Tinkertoys for the D_N series · Isolated $4d$ SCFT's · 0.82

  • Several examples are shown in figures [ref] and [ref], where in all cases complete agreement with the results of [ref] is found, and further that the Coulomb branch dimension of the class S theory agrees with that expected from the web.

    Instanton operators and symmetry enhancement in 5d supersymmetric USp, SO and exceptional gauge theories · Isolated $4d$ SCFT's · 0.98

  • This indeed matches the properties of the rank $2$ $E_7$ theory as can be computed using class S technology from the construction of this theory with a free hyper given in [ref] .

    Exceptional Indices · Isolated $4d$ SCFT's · 0.85

Cites as support 1 paper
  • This has indeed been argued in [ref] from $3d$ reasoning.

    Redeeming Bad Theories · Brane motions and free hypermultiplets · 0.98

Cites as background 7 papers
  • Such systems were first introduced in [ref] , and further studied in [ref] .

    Brane webs and $O5$-planes · Brane webs in the presence of $O5$-planes · 1.00

  • Such systems were first introduced in [ref] , and further studied in [ref] .

    More on 5d descriptions of 6d SCFTs · Brane webs in the presence of $O5$-planes · 1.00

  • For $N>4$ these theories are bad in the sense of [ref] so index analysis is unknown for them.

    Exceptional Indices · Brane motions and free hypermultiplets · 0.84

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