Sequential deconfinement in 3d $$ \mathcal{N} $$ = 2 gauge theories

Benvenuti, Sergio; Garozzo, Ivan; Monaco, Gabriele Lo

doi:10.1007/jhep07(2021)191

Cited by 25 publications

(60 citation statements)

References 48 publications

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“…In this appendix we revisit the problem of mapping monopole operators when applying Aharony duality [59] locally on a node of a quiver gauge theory. This issue was first investigated in [89,90] in the case of unitary gauge groups and later in [91,92] in the case of SU , U Sp and SO groups (see also appendix A of [93]). Nevertheless, in all of these papers the case in which the dualized gauge node is confined wasn't considered, and this is exactly the case we are interested in.…”

Section: Jhep09(2021)149 C Confining Aharony Duality For Su(2) Quiversmentioning

confidence: 99%

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Compactifying 5d superconformal field theories to 3d

Sacchi

Sela

Zafrir

2021

J. High Energ. Phys.

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Building on recent progress in the study of compactifications of 6d (1, 0) superconformal field theories (SCFTs) on Riemann surfaces to 4d$$ \mathcal{N} $$ N = 1 theories, we initiate a systematic study of compactifications of 5d$$ \mathcal{N} $$ N = 1 SCFTs on Riemann surfaces to 3d$$ \mathcal{N} $$ N = 2 theories. Specifically, we consider the compactification of the so-called rank 1 Seiberg $$ {E}_{N_f+1} $$ E N f + 1 SCFTs on tori and tubes with flux in their global symmetry, and put the resulting 3d theories to various consistency checks. These include matching the (usually enhanced) IR symmetry of the 3d theories with the one expected from the compactification, given by the commutant of the flux in the global symmetry of the corresponding 5d SCFT, and identifying the spectrum of operators and conformal manifolds predicted by the 5d picture. As the models we examine are in three dimensions, we encounter novel elements that are not present in compactifications to four dimensions, notably Chern-Simons terms and monopole superpotentials, that play an important role in our construction. The methods used in this paper can also be used for the compactification of any other 5d SCFT that has a deformation leading to a 5d gauge theory.

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Section: Jhep09(2021)149 C Confining Aharony Duality For Su(2) Quiversmentioning

confidence: 99%

“…The technique of deriving dualities between quiver gauge theories by applying more fundamental dualities locally on a node has recently been exploited a lot, see[65,89,90,[92][93][94][95][96] for some examples in three dimensions where one can apply either Aharony duality[59] or variants with monopole superpotentials[97].…”

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confidence: 99%

Compactifying 5d superconformal field theories to 3d

Sacchi

Sela

Zafrir

2021

J. High Energ. Phys.

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“…We will present an application of the results in this note in two companion papers [33,34]. In [33] we study the duals of a theory with a single gauge group and matter in the a rank-2 representation, U(N ) with a single adjoint field and flavors, or Sp(N ) with a single antisymmetric field and flavors. We produce a dual which is a quiver with N gauge nodes, obtained by sequentially deconfining the rank-2 field.…”

Section: Jhep10(2021)191mentioning

confidence: 99%

“…Ref. [33] studies the cases of an adjoint of U(N ) and the rank-2 anti-symmetric of Sp(N ) (aspects of the latter theory have been discussed in [49,52]). Ref.…”

Section: Jhep10(2021)191mentioning

confidence: 99%

Monopoles and dualities in 3d $$ \mathcal{N} $$ = 2 quivers

Benvenuti

Garozzo

Monaco

2021

J. High Energ. Phys.

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Seiberg-like dualities in 2 + 1d quiver gauge theories with 4 supercharges are investigated. We consider quivers made of various combinations of classical gauge groups U(N), Sp(N), SO(N) and SU(N). Our main focus is the mapping of the supersymmetric monopole operators across the dual theories. There is a simple general rule that encodes the mapping of the monopoles upon dualizing a single node. This rule dictates the mapping of all the monopoles which are not dressed by baryonic operators. We also study more general situations involving baryons and baryon-monopoles, focussing on three examples: SU − Sp, SO − SO and SO − Sp quivers.

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“…A recent results that corroborates this expectation appeared recently in [19,20], where it is shown that 4d mirror symmetry dualities [21,22] (and hence 3d mirror symmetry dualities [23,24]) can be proven using only Intriligator-Pouliot (IP) duality, relating theories with U sp gauge group and fundamental matter. Moreover, in [12] we will use the sequential deconfinement techniques of [25,26] to find a quiver dual of U sp(2N ) with F flavors, and use this deconfined version to prove a knwon self-duality of U sp(2N ) with 4 flavors [27]. This paper is organized as follows.…”

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confidence: 99%

S-confinements from deconfinements

Bajeot¹,

Benvenuti²

2022

Preprint

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We consider four dimensional N = 1 gauge theories that are S-confining, that is they are dual to a Wess-Zumino model. S-confining theories with a simple gauge group have been classified. We prove all the S-confining dualities in the list, when the matter fields transform in rank-1 and/or rank-2 representations. Our only assumptions are the S-confining dualities for SU (N ) with N +1 flavors and for U sp(2N ) with 2N + 4 fundamentals. The strategy consists in a sequence of deconfinements and re-confinements. We pay special attention to the explicit superpotential at each step.

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Sequential deconfinement in 3d $$ \mathcal{N} $$ = 2 gauge theories

Cited by 25 publications

References 48 publications

Compactifying 5d superconformal field theories to 3d

Compactifying 5d superconformal field theories to 3d

Monopoles and dualities in 3d $$ \mathcal{N} $$ = 2 quivers

S-confinements from deconfinements

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