Linear Quivers and N=1 SCFTs from M5-branes

Ibrahima Bah; Nikolay Bobev

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Linear Quivers and N=1 SCFTs from M5-branes

Ibrahima Bah, Nikolay Bobev

High Energy Physics - Theory · Submitted 26 Jul 2013

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

The authors' main claim We argue that these theories flow to interacting SCFTs in the IR and calculate their central charges.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.18 · compares with prior results 0.06 · mentions code or data availability 0.02.

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We study a class of N=1 quiver gauge theories build out of vector multiplets and matter multiplets in the fundamental and bifundamental representations. We argue that these theories flow to interacting SCFTs in the IR and calculate their central charges. We exhibit a type IIA brane construction which at low energies is described by these SCFTs. This also leads to a natural description of the theories in terms of M5-branes on a punctured sphere.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study a class of N=1 quiver gauge theories build out of vector multiplets and matter multiplets in the fundamental and bifundamental representations.	contribution 0.94	0.84	0.06	asserted 0.95
s1	We argue that these theories flow to interacting SCFTs in the IR and calculate their central charges.	result 0.84	0.95	0.64	asserted 0.67
s2	We exhibit a type IIA brane construction which at low energies is described by these SCFTs.	contribution 0.56	0.92	0.15	asserted 1.00
s3	This also leads to a natural description of the theories in terms of M5-branes on a punctured sphere.	interpretation 0.72	0.81	0.18	asserted 0.94

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from argument 0.52.

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The paper

Original abstract

We study a class of N=1 quiver gauge theories build out of vector multiplets and matter multiplets in the fundamental and bifundamental representations. We argue that these theories flow to interacting SCFTs in the IR and calculate their central charges. We exhibit a type IIA brane construction which at low energies is described by these SCFTs. This also leads to a natural description of the theories in terms of M5-branes on a punctured sphere.

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References

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Quiver Tails and N=1 SCFTs from M5-branes
hep-th 2014-09 accept novelty 7.0 of 10

A new collection of chiral fields called the Fan supplies the missing quiver-tail building block for N=1 class S theories and yields an N=1 analog of Argyres-Seiberg duality for SU(N) SQCD with 2N flavors.
A review of the T_N theory and its cousins
hep-th 2015-04 conditional novelty 3.0 of 10

The review assembles the construction, central charges, superconformal index, and moduli spaces of the T_N theory and its partially closed cousins into one reference with uniform derivations.

How the literature uses it

26 arXiv papers cite this in 72 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 · 43 sentences without a confident label

Builds on it 2 papers

This configuration thus generalizes the brane set-ups discussed in the previous section and in [ref] .

The $AdS_5$ non-Abelian T-dual of Klebanov-Witten as a $\mathcal{N} = 1$ linear quiver from M5-branes · The non-Abelian T-dual of Klebanov-Witten as a $𝒩=1$ linear quiver · 0.98
In fact our construction can be thought as generalizations of [ref] , with conformal matter instead of standard matter coupled to $𝒩=1$ vectors.

4D Gauge Theories with Conformal Matter · $𝒩=1$ Deformations of the $𝒩=2$ Case · 0.99

Uses its method or tool 2 papers

It is the presence of a flavor group in the CFT that regulates the space generated by non-Abelian T-duality. * We calculate the field theoretical central charge applying the methods in [ref] .

The $AdS_5$ non-Abelian T-dual of Klebanov-Witten as a $\mathcal{N} = 1$ linear quiver from M5-branes · General framework and organization of this paper · 0.99
Following the ideas of the papers [ref] , [ref] , we use that the R-symmetry mixes with the flavour symmetries.

Holographic Aspects of Four Dimensional ${\cal N }=2$ SCFTs and their Marginal Deformations · Details about the deformation of the CFT · 0.95

Compares with it 3 papers

(3.20) in [ref] ) for $κ=0$ and large $ℓ$.

The $AdS_5$ non-Abelian T-dual of Klebanov-Witten as a $\mathcal{N} = 1$ linear quiver from M5-branes · Central charge of the Klebanov-Witten theory modded by $ℤ_k$ · 0.99
This fits perfectly with the field theory analysis of [ref] (formula (3.10))[Notice that the sign convention in [ref] differs from ours.

Four dimensional superconformal theories from M5 branes · Models with full and simple punctures · 0.94
This is reminiscent of the phenomenon that appears in $𝒩=1$ class $𝒮$ theory [ref] , where the mass deformed theory corresponds to the case with equal degrees of normal bundles of more general compactifications.

Infinitely many 4d N=1 SCFTs with a=c · Introduction · 0.83

Cites it as background 13 papers

In section [ref], we first review the $=1$ linear quiver gauge theories of class $$ [ref] , and the nilpotent Higgsing.

Quiver Tails and N=1 SCFTs from M5-branes · Introduction · 0.97
In [ref] , Bah and Bobev introduced $=1$ linear quiver gauge theories built out of $𝒩=2$ and $𝒩=1$ vector multiplets and ordinary matter multiplets.

The $AdS_5$ non-Abelian T-dual of Klebanov-Witten as a $\mathcal{N} = 1$ linear quiver from M5-branes · $𝒩=1$ linear quivers · 0.91
In this way, new $=2$ S-dualities [ref] and $=1$ dualities have been found [ref] .

New Dualities and Misleading Anomaly Matchings from Outer-automorphism Twists · Introduction · 0.83

What it cites · 49 sentences without a confident label

Builds on 3 papers

Moreover it opens the way for an $𝒩=1$ generalization of the large class of $𝒩=2$ SCFTs constructed from M5-branes on Riemann surfaces [ref] .

N=2 dualities · Introduction · 0.96
Moreover it opens the way for an $𝒩=1$ generalization of the large class of $𝒩=2$ SCFTs constructed from M5-branes on Riemann surfaces [ref] .

Wall-crossing, Hitchin Systems, and the WKB Approximation · Introduction · 0.96
Moreover it opens the way for an $𝒩=1$ generalization of the large class of $𝒩=2$ SCFTs constructed from M5-branes on Riemann surfaces [ref] .

Solutions Of Four-Dimensional Field Theories Via M Theory · Introduction · 0.96

Uses the method or tool of 8 papers

The superconformal R-symmetries maximizes the function $a(ϵ)$ and thus uniquely determines the value of $ϵ$ [ref] .

The Exact Superconformal R-Symmetry Maximizes a · Central charges and $R$-symmetry · 0.93
Equipped with the type IIA picture we can follow the approach of [ref] and [ref] and take an M-theory limit.

Wall-crossing, Hitchin Systems, and the WKB Approximation · Introduction · 0.95
Equipped with the type IIA picture we can follow the approach of [ref] and [ref] and take an M-theory limit.

N=2 dualities · Introduction · 0.95

Compares with 6 papers

This construction is very similar to the $𝒩=2$ linear quivers studied in [ref] .

Solutions Of Four-Dimensional Field Theories Via M Theory · Type IIA construction · 0.88
A similar duality was observe in the field theory constructions of the SCFTs in the IR of M5-branes on Riemann surface [ref] .

AdS/CFT Dual Pairs from M5-Branes on Riemann Surfaces · Dualities and conformal manifold · 0.98
Curiously for $ℓ=4(g-1)N/3$ we get exactly the same numerical values of the central charges as for large $N$ limit of the theories in [ref] coming from hyperbolic Riemann surfaces.

Four-Dimensional SCFTs from M5-Branes · Large $N$ limit · 0.98

Cites as background 20 papers

The $T_N$ itself can be defined by decoupling a set of $𝒩=2$ vector multiplets and hypermultiplets from linear quivers that preserve $𝒩=2$ supersymmetry [ref] .

N=2 dualities · Introduction · 0.85
The $T_N$ itself can be defined by decoupling a set of $𝒩=2$ vector multiplets and hypermultiplets from linear quivers that preserve $𝒩=2$ supersymmetry [ref] .

The gravity duals of N=2 superconformal field theories · Introduction · 0.85
In the past, there have been many constructions of $𝒩=1$ field theories that use intersecting D4- and NS5-branes, see for example [ref] .

Membrane Scattering in Curved Space with M-Momentum Transfer · Type IIA construction · 1.00

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