On 3d Seiberg‐Like Dualities with Two Adjoints

Hwang, Chiung; Kim, Hyungchul; Park, Jaemo

doi:10.1002/prop.201800064

Cited by 24 publications

(71 citation statements)

References 84 publications

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“…Another result that requires some investigation is the extension of the flows discussed in Figure 1 to the case of Brodie duality [64], involving two adjoints and a non trivial superpotential. Recently, this duality has been reduced to 3d in [65]. The main difference that emerged from the analisys is the presence of superpotentials involving monopoles with charge 2.…”

Section: Discussionmentioning

confidence: 99%

USp(2Nc) SQCD3 with antisymmetric: dualities and symmetry enhancements

Amariti

Cassia

2019

J. High Energ. Phys.

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We study various aspects of the 4d/3d reduction of N = 1 dualities involving U Sp(2N c ) gauge theories with 2N f fundamentals and one antisymmetric. We discuss the non-trivial role played by the monopole superpotentials in the reduction and obtain new 3d dualities for models with both symplectic and unitary gauge groups. For N f = 4 we observe interesting webs of dualities and symmetry enhancements, recovering and extending some results already appeared in the literature.

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Section: Discussionmentioning

confidence: 99%

USp(2Nc) SQCD3 with antisymmetric: dualities and symmetry enhancements

Amariti

Cassia

2019

J. High Energ. Phys.

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“…Our analysis may be also generalized by considering U (N c ) SQCD with two adjoints. The duality was derived in [7], inspired by the 4d duality of [47]. It should be possible to see if a quadratic monopole deformation can be added to this duality and if it gives raise to a new IR duality.…”

Section: Discussionmentioning

confidence: 99%

“…These last are finite along x 6 and they fill x 0,1,2,3 . The flavor is obtained by adding to the picture a stack of D6 branes extended along x 0,1,2, 3,7,8,9 . T-duality is performed along x 3 , and in this way the NS branes are compact along x 3 while the D4 and D6 branes become D3 and D5 respectively, and they are not extended anymore along x 3 .…”

Section: Dualities For Symplectic Gauge Groupsmentioning

confidence: 99%

“…For example linear monopole superpotential were used in [1] to explain how to reduce 4d Seiberg duality to 3d (see also [2] for an earlier attempt). This construction was then generalized to theories with more sophisticated gauge and field content in [3][4][5][6][7]. Moreover the string theory interpretation of this reduction was obtained in [8][9][10][11], by engineering the linear monopole superpotential in terms of D1 branes, along the lines of the construction of [12][13][14][15].…”

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confidence: 99%

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Branes, partition functions, and quadratic monopole superpotentials

et al. 2019

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We obtain the brane setup describing 3d N = 2 dualities for U Sp(2N c ) and U (N c ) SQCD with monopole superpotentials. This classification follows from a complete analysis of affine and twisted affine compactifications from 4d. The analysis leads to a new duality for the unitary case that has been previously overlooked in the literature. We check this by matching of the three sphere partition function of the two sides of this new duality and find a perfect agreement. Furthermore we use the partition function to predict new 3d N = 2 dualities for SQCD with monopole superpotentials and tensorial matter. arXiv:1901.07559v1 [hep-th] 22 Jan 2019 ContentsOur construction is based on [8]: we consider a brane setup that engineers a 4d theory, with a compact space-like direction. Typically there are D4, D6 and NS branes in such setups. In addition O4 and O6 planes are added, in order to extend the analysis to the cases with real gauge groups and/or tensorial matter. We perform T-duality along the compact direction and study the effective 3d models in the T-dual configuration. The 3d dualities follow from the transition through infinite coupling obtained after an opportune move among the NS branes [12]. Such move modifies the number of D3 branes that engineer the gauge sectors of the effective 3d models. A common configuration corresponds to having stacks of D3 branes separated along the compact direction. This separation is associated to the presence of D1 branes, that engineer the presence of interactions involving monopole operators. The simplest cases correspond, at the algebraic level, to affine Dynkin diagrams, and the affine root is associated to a linear monopole superpotential, usually referred to as the Kaluza-Klein monopole superpotential. The construction has been shown in [10] to reproduce also the linear monopole superpotentials introduced in [16] for U (1) models and then extended in [21] to the U (N c ) case.Here we introduce in this description a new ingredient, in order to reproduce also the dualities with quadratic monopole superpotentials discussed in [35]. It consists in considering compactifications with a twist by an outer automorphism of the gauge algebra. Eventually we observe that D-branes provide a classification principle for the 3d N = 2 dualities with monopole superpotentials.The general setup is introduced in section 2, where we discuss general aspects of the affine and the twisted affine algebras. In section 3 we discuss the dualities with real gauge groups. We observe that by considering the affine and the twisted affine compactifications we can reproduce the various dualities obtained in [1,35,36] for U Sp(2N c ) gauge theories involving monopole superpotentials. In section 4 we consider the case of U (N c ) gauge groups. In this case we reproduce all the known dualities studied in [21,35]. Furthermore we obtain a model that has been previously overlooked in the literature. This corresponds to SQCD with a linear (quadratic) monopole plus a quadratic (linear) anti-monopole superpotential....

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“…For instance, one can consider the SU(N) gauge theory with multiple adjoint matters and chiral (anti-)fundamentals. In 4d, the Kutasov-Schwimmer duality was generalized along this direction [8,9] while in 3d the vector-like Kutasov-Schwimmer duality with two adjoint was recently discussed in [20]. It would be possible to extend our chiral duality along this direction.…”

Section: Sumentioning

confidence: 99%

3d “chiral” Kutasov-Schwimmer duality

Nii¹

2020

Nuclear Physics B

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We propose a "chiral" version of the Kutasov-Schwimmer duality in a 3d N = 2 SU (N ) gauge theory with F fundamental matters,F anti-fundamental matters and an adjoint matter X with a tree-level superpotential W = tr X k+1 . The theory exhibits a rich structure of the baryonic and (dressed) Coulomb branch operators. At first sight, the duality seems bad due to the mismatch of the anti-baryonic branch in the moduli space of vacua. The duality well works by realizing that the anti-baryonic operators are identified with some of the dressed Coulomb branch coordinates under the proposed duality. This generalizes the SU (N ) "chiral" duality with (anti-)fundamental matters, which we previously proposed.

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On 3d Seiberg‐Like Dualities with Two Adjoints

Cited by 24 publications

References 84 publications

USp(2Nc) SQCD3 with antisymmetric: dualities and symmetry enhancements

USp(2Nc) SQCD3 with antisymmetric: dualities and symmetry enhancements

Branes, partition functions, and quadratic monopole superpotentials

3d “chiral” Kutasov-Schwimmer duality

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