N = 3 SCFTs in 4 dimensions and non-simply laced groups

Evtikhiev, Mikhail

doi:10.1007/jhep06(2020)125

Cited by 7 publications

(9 citation statements)

References 16 publications

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“…Specifically, the implications of N = 3 SUSY are of great use to us in this article. Many of the results here have appeared before in the literature, notably [27,30,34,35,[37][38][39]42].…”

Section: A Relations Between 4d Susysupporting

confidence: 53%

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An $$ \mathcal{N} $$ = 1 Lagrangian for an $$ \mathcal{N} $$ = 3 SCFT

Zafrir

2021

J. High Energ. Phys.

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We propose that a certain 4d$$ \mathcal{N} $$ N = 1 SU(2) × SU(2) gauge theory flows in the IR to an $$ \mathcal{N} $$ N = 3 SCFT plus a single free chiral field. The specific $$ \mathcal{N} $$ N = 3 SCFT has rank 1 and a dimension three Coulomb branch operator. The flow is generically expected to land at the $$ \mathcal{N} $$ N = 3 SCFT deformed by the marginal deformation associated with said Coulomb branch operator. We also present a discussion about the properties expected of various RG invariant quantities from $$ \mathcal{N} $$ N = 3 superconformal symmetry, and use these to test our proposal. Finally, we discuss a generalization to another $$ \mathcal{N} $$ N = 1 model that we propose is related to a certain rank 3 $$ \mathcal{N} $$ N = 3 SCFT through the turning of certain marginal deformations.

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“…Specifically, the implications of N = 3 SUSY are of great use to us in this article. Many of the results here have appeared before in the literature, notably [27,30,34,35,[37][38][39]42].…”

Section: A Relations Between 4d Susysupporting

confidence: 53%

“…It should be noted that this relation is known to fail when the gauge group has disconnected components. For instance, it is possible to engineer N = 3 SCFTs by gauging a discrete symmetry of N = 4 SCFTs, see [38,41,42]. In these cases, (2.3) will not be obeyed, and instead a and c will be equal to those of the underlying N = 4 SCFT.…”

Section: Jhep01(2021)062mentioning

confidence: 99%

An $$ \mathcal{N} $$ = 1 Lagrangian for an $$ \mathcal{N} $$ = 3 SCFT

Zafrir

2021

J. High Energ. Phys.

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“…See[30] for previous explorations of this, and[22] for an analogous discussion in the context of the Cardy-Rabinovici model.…”

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confidence: 99%

Non-Invertible Symmetries of $\mathcal{N}=4$ SYM and Twisted Compactification

Kaidi,

Zafrir,

Zheng

2022

Preprint

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Non-invertible symmetries have recently been understood to provide interesting contraints on RG flows of QFTs. In this work, we show how non-invertible symmetries can also be used to generate entirely new RG flows, by means of so-called non-invertible twisted compactification. We illustrate the idea in the example of twisted compactifications of 4d N = 4 super-Yang-Mills (SYM) to three dimensions. After giving a catalogue of non-invertible symmetries descending from Montonen-Olive duality transformations of 4d N = 4 SYM, we show that twisted compactification by non-invertible symmetries can be used to obtain 3d N = 6 theories which appear otherwise unreachable if one restricts to twists by invertible symmetries.

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“…Note that in both cases the square of R is an element of the Weyl group, and thus the square of S acts trivially on the moduli space. We will also want the action of S on the invariant polynomials, which is [43,57] (5.10)…”

Section: S-duality For Non-simply-laced Groupsmentioning

confidence: 99%

“…More information can be found in [47] (see also the appendix in [30] for an account aimed at physicists). We also refer the interested reader to [13,27,29,30,57,58] for some previous appearances of complex reflections groups in physics.…”

Section: A Complex Reflection Groupsmentioning

confidence: 99%

Exceptional moduli spaces for exceptional $\mathcal{N}=3$ theories

Kaidi¹,

Martone²,

Zafrir³

2022

Preprint

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It is expected on general grounds that the moduli space of 4d N = 3 theories is of the form C 3r /Γ, with r the rank and Γ a crystallographic complex reflection group (CCRG). As in the case of Lie algebras, the space of CCRGs consists of several infinite families, together with some exceptionals. To date, no 4d N = 3 theory with moduli space labelled by an exceptional CCRG (excluding Weyl groups) has been identified. In this work we show that the 4d N = 3 theories proposed in [1], constructed via non-geometric quotients of type-e 6d (2,0) theories, realize nearly all such exceptional moduli spaces. In addition, we introduce an extension of this construction to allow for twists and quotients by outer automorphism symmetries. This gives new examples of 4d N = 3 theories going beyond simple S-folds. 8 in Type IIA. Exchanging the two circles S 1 9 ↔ S 1 8 and lifting back to M-theory gives the original configuration-see Figure 1.Given these symmetries, we can consider various (potentially non-geometric) orbifolds involving them. We will be interested in a quotient by

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N = 3 SCFTs in 4 dimensions and non-simply laced groups

Cited by 7 publications

References 16 publications

An $$ \mathcal{N} $$ = 1 Lagrangian for an $$ \mathcal{N} $$ = 3 SCFT

An $$ \mathcal{N} $$ = 1 Lagrangian for an $$ \mathcal{N} $$ = 3 SCFT

Non-Invertible Symmetries of $\mathcal{N}=4$ SYM and Twisted Compactification

Exceptional moduli spaces for exceptional $\mathcal{N}=3$ theories

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