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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.
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The abstract, sentence by sentence
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
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| 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 |
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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
Papers citing it · 13 sentences without a confident label
Builds on it 1 paper
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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
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We can use the results in [ref] to lift a class $𝒮$ theory to a 5d SCFT engineered by a brane web with an O5-plane.
Orbi-Instantons and Class $\mathcal{S}$ Theories of Type D · Cases with Non-Integer M · 0.99
Cites it as background 8 papers
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There are two types of orientifold planes whose inclusion in the brane web leads to consistent 5d SCFTs, namely O5-planes [ref] and O7-planes [ref] .
Magnetic quivers from brane webs with O7$^+$-planes · Introduction · 0.88
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For the O5 case [ref] , on the other hand, the application of topological vertex was first proposed in [ref] and further developed in [ref] .
Refined topological vertex with ON-planes · Introduction · 0.85
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This has been previously explored for various SCFTs in [ref] .
Compactifications of 5d SCFTs with a twist · Introduction · 0.80
What it cites · 33 sentences without a confident label
Builds on 3 papers
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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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