5D and 6D SCFTs from $\mathbb{C}^3$ orbifolds

Tian, Jiahua; Wang, Yinan

doi:10.21468/scipostphys.12.4.127

Cited by 27 publications

(24 citation statements)

References 105 publications

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“…We proceed by way of example, illustrating how our method works in each of these cases. In the case of finite Abelian subgroups of SUð3Þ, we find agreement with the results of [17,18] as well as those of [50] which involved a direct analysis of the resolved geometry. The case of family 2 does not appear to have been treated in the existing literature, but again we find examples which contain nontrivial higher-form symmetries.…”

Section: Examplessupporting

confidence: 85%

“…II we presented a general prescription for how to extract the higher-form symmetries from 5D SCFTs defined by M-theory on the background C 3 =Γ. Our plan in this section will be to show how this works in practice, illustrating with a number of examples that both methods produce the same result, and agree with previously established results available in the literature, including v1 and v2 of [50].…”

Section: Examplessupporting

confidence: 56%

“…For example, the trinion theory T N with flavor symmetry algebra suðNÞ 3 arises from the singularity C 3 =Z N × Z N (see [49]). Recently the physics and geometry of many such singularities were studied in references [50,51]. For further discussion of higher-form symmetries in 5D SCFTs, see in particular [17,18,33,52,53].…”

Section: Introductionmentioning

confidence: 99%

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Higher symmetries of 5D orbifold SCFTs

et al. 2022

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We determine the higher symmetries of 5D SCFTs engineered from M-theory on a C 3 =Γ background for Γ a finite subgroup of SUð3Þ. This resolves a longstanding question as to how to extract this data when the resulting singularity is nontoric (when Γ is non-Abelian) and/or not isolated (when the action of Γ has fixed loci). The Bogomol'nyi-Prasad-Sommerfield (BPS) states of the theory are encoded in a 1D quiver quantum mechanics gauge theory which determines the possible 1-form and 2-form symmetries. We also show that this same data can also be extracted by a direct computation of the corresponding defect group associated with the orbifold singularity. Both methods agree, and these computations do not rely on the existence of a resolution of the singularity. We also observe that when the geometry faithfully captures the global 0-form symmetry, the abelianization of Γ detects a 2-group structure (when present). As such, this establishes that all of this data is indeed intrinsic to the superconformal fixed point rather than being an emergent property of an IR gauge theory phase.

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Section: Examplessupporting

confidence: 85%

Section: Examplessupporting

confidence: 56%

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Higher symmetries of 5D orbifold SCFTs

et al. 2022

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“…See reference [83] for an application of this idea in the context of 5d orbifold SCFTs discussed e.g. in [85].…”

Section: The Case Of 5d Theoriesmentioning

confidence: 99%

Global Structures from the Infrared

Zotto¹,

García-Etxebarria²

2022

Preprint

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Quantum field theories with identical local dynamics can admit different choices of global structure, leading to different partition functions and spectra of extended operators. Such choices can be reformulated in terms of a topological field theory in one dimension higher, the symmetry TFT. In this paper we show that this TFT can be reconstructed from a careful analysis of the infrared Coulomb-like phases. In particular, the TFT matches between the UV and the IR. This provides a purely field theoretical counterpart of several recent results obtained via geometric engineering in various string/M/F theory setups for theories in four and five dimensions that we confirm and extend.

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“…Yet, by now, there is overwhelming evidence to support their existence, mostly due to stringy constructions starting with the seminal papers [1][2][3][4]. Broadly speaking, there are three independent, yet complementary points of view for studying these SCFTs, namely their embedding into type IIB brane webs , geometric engineering [2,[26][27][28][29][30][31][32][33][34] and holography [35][36][37][38][39][40][41].…”

Section: Jhep05(2022)054 1 Introductionmentioning

confidence: 99%

Exploring the orthosymplectic zoo

Akhond

Carta

Dwivedi

et al. 2022

J. High Energ. Phys.

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We study the Higgs branch of the SCFT limit of 5d SO(6) and SO(8) gauge theory with hypermultiplets in the spinor and vector representations. In the case of SO(6) gauge theories, we contrast the magnetic quivers obtained with those of SU(4) gauge theory with hypermultiplets in the fundamental and second rank antisymmetric representations. Since SU(4) gauge theories admit several different values of the Chern-Simons level, we make some observations about how to distinguish those theories from the brane webs of the SO(6) theories. In the case of SO(8) gauge theories, we use SO(8) triality to propose (naively) inequivalent magnetic quivers, which will turn out to have the same moduli spaces of vacua, at least locally around their most singular loci. We encounter several interesting new phenomena occurring in the magnetic quivers, such as hypermultiplets between neighbouring symplectic gauge nodes and matter in two-index representations of unitary nodes. We also give a prescription for computing the local Coulomb branch Hilbert series for quivers involving bad USp(2) gauge nodes.

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5D and 6D SCFTs from $\mathbb{C}^3$ orbifolds

Cited by 27 publications

References 105 publications

Higher symmetries of 5D orbifold SCFTs

Higher symmetries of 5D orbifold SCFTs

Global Structures from the Infrared

Exploring the orthosymplectic zoo

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