Evidence for Aharony duality for orthogonal gauge groups

Hwang, Chiung; Park, Kyung-Jae; Park, Jaemo

doi:10.1007/jhep11(2011)011

Cited by 40 publications

(58 citation statements)

References 68 publications

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“…for any growing tree t and its dual tree t c . 13 The first term in the plethystic exponential corresponds to the contribution of monopole operators of monopole charge 1, which are V ± s,t for s = 0, . .…”

Section: N F =mentioning

confidence: 99%

On 3d Seiberg‐Like Dualities with Two Adjoints

Hwang

Kim

Park

2018

Fortschritte der Physik

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We study N=2 3‐d theories with two adjoints and fundamental flavors along with D‐type superpotential. For superpotential WDn+2= Tr false(Xn+1+XY2false) with n odd, we propose the 3d dualities, which we motivate from the dimensional reduction of the related 4‐d theory. We consider the factorization of the superconformal index and match precisely the vortex partition function of the dual pairs. In the language of the Higgs branch localization, the nonzero contribution of the vortex partition function comes from the discrete Higgs vacua of the massively deformed theory, which precisely matches with that of the dual theory. We also clarify the monopole operators parametrizing the Coulomb branch of such theories. Existence of independent monopole operators of charge 2 is crucial to describe the Coulomb branch.

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Section: N F =mentioning

confidence: 99%

On 3d Seiberg‐Like Dualities with Two Adjoints

Hwang

Kim

Park

2018

Fortschritte der Physik

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“…Giveon-Kutasov and Aharony dualities have been studied in [7,[26][27][28]. First we analyse the Giveon-Kutasov theory.…”

Section: Jhep03(2014)064mentioning

confidence: 99%

A note on 3D $ \mathcal{N} $ = 2 dualities: real mass flow and partition function

Amariti

2014

J. High Energ. Phys.

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We study two well-known classes of dualities in three dimensional N = 2 supersymmetric field theories. In the first class there are non trivial interactions involving monopole operators while in the second class the dual gauge theories have Chern-Simons terms in the action. An RG flows connecting the first dual pair to the second one has been studied in the past and tested on the partition function on the squashed three sphere. Recently an opposite RG flow connecting the second dual pair to the first one has been studied in the case of unitary gauge groups. In this paper we study this flow on the partition function on the squashed three sphere. We verify that the equality between the partition functions of the original dual models is preserved in the IR, where the other dual pair is reached. We generalize the analysis to the case of symplectic and of orthogonal groups.

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“…It is used to check dualities among 3d field theories [7,8,9,10,11,12,13] and gauge/gravity correspondence [14,15,16,17,18]. The superconformal index is also used to check these dualities [19,20,21,22,13]. The superconformal index depends on chemical potentials associated with global symmetries of the theory.…”

Section: Introductionmentioning

confidence: 99%

“…After the cancellation, only the bosonic modes with the highest or lowest SU(2) R weight survive and contribute to the 1-loop partition function (10). Similarly, in the second pair in (13), only the fermionic modes with the highest or lowest SU(2) R weight contribute to the partition function (10). Thus, even if the SU(2) R symmetry is broken and the degeneracy in each SU(2) R multiplet is lost, it does not affect the structure of the partition function.…”

Section: Introductionmentioning

confidence: 99%

N=2supersymmetric theories on squashed three-sphere

2012

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We investigate a squashing deformation of 3d N = 2 supersymmetric theories on three-sphere, which have four supercharges. The deformation preserves SU(2) L ×U(1) r isometry and all four supersymmetries. We compute the partition function and find non-trivial dependence on the squashing parameter. We also consider the large N limit of a certain class of quiver gauge theories which have free energy of order N 3/2 , and show that the free energy on the squashed sphere differs from that on round sphere by a certain factor depending only on the squashing parameter. *

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Evidence for Aharony duality for orthogonal gauge groups

Cited by 40 publications

References 68 publications

On 3d Seiberg‐Like Dualities with Two Adjoints

On 3d Seiberg‐Like Dualities with Two Adjoints

A note on 3D $ \mathcal{N} $ = 2 dualities: real mass flow and partition function

N=2supersymmetric theories on squashed three-sphere

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