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

Amariti, Antonio; Cassia, Luca

doi:10.1007/jhep02(2019)013

Cited by 41 publications

(87 citation statements)

References 75 publications

(154 reference statements)

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“…and were recently studied in [18,69,70]. In [71] it was argued that N = 2 U (1) ± 3 2 with one chiral flavor has infrared supersymmetry enhancement to N = 4.…”

Section: Supersymmetry Enhancementmentioning

confidence: 99%

Living on the walls of super-QCD

et al. 2019

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We study BPS domain walls in four-dimensional N = 1 massive SQCD with gauge group SU (N ) and F < N flavors. We propose a class of threedimensional Chern-Simons-matter theories to describe the effective dynamics on the walls. Our proposal passes several checks, including the exact matching between its vacua and the solutions to the four-dimensional BPS domain wall equations, that we solve in the small mass regime. As the flavor mass is varied, domain walls undergo a second-order phase transition, where multiple vacua coalesce into a single one. For special values of the parameters, the phase transition exhibits supersymmetry enhancement. Our proposal includes and extends previous results in the literature, providing a complete picture of BPS domain walls for F < N massive SQCD. A similar picture holds also for SQCD with gauge group Sp(N ) and F < N + 1 flavors.

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“…and were recently studied in [18,69,70]. In [71] it was argued that N = 2 U (1) ± 3 2 with one chiral flavor has infrared supersymmetry enhancement to N = 4.…”

Section: Supersymmetry Enhancementmentioning

confidence: 99%

Living on the walls of super-QCD

et al. 2019

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“…Here we provide an evidence of this duality, showing that it can be obtained from a duality discussed in [17] involving U (N c ) adjoint SQCD with W = X k+1 + T 0 and…”

Section: U (N C ) With Linear and Quadratic Monopole Superpotentialsmentioning

confidence: 64%

“…Our argument will be based on the matching of the partition functions. We start from the relation derived in [17]…”

Section: U (N C ) With Linear and Quadratic Monopole Superpotentialsmentioning

confidence: 99%

“…By real mass flow it was then shown that there are more general types of monopole superpotentials for U (1) theories. The generalization of this phenomenon to U Sp(2N c ) with an antisymmetric and eight fundamentals was recently discussed in [17][18][19]. The U (N c ) generalization of the superpotentials introduced in [16] for the U (1) models was obtained in [20,21].…”

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confidence: 98%

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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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“…An interesting feature of our approach (based on the deformation of N = 4 mirror theories) is that it can be used to systematically provide dual descriptions for models with an arbitrary number of adjoints and fundamentals, which is instead hard to achieve using the compactification method of [24,25] due to the constraints imposed on the matter content by asymptotic freedom in 4d. The price we have to pay, which constitutes the main focus of this note, is that the candidate dual theory is often plagued by emergent symmetries in the infrared (typically most of the symmetries which are not present in the parent N = 4 theory).…”

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confidence: 99%

Dualities for adjoint SQCD in three dimensions and emergent symmetries

Giacomelli

2019

J. High Energ. Phys.

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In this paper we study dualities for N = 2 gauge theories in three dimensions with matter in the fundamental and adjoint representation. The duality we propose, analogous to mirror symmetry, is obtained starting from N = 4 mirror theories and turning on a certain superpotential deformation involving monopole operators. We study the role of emergent symmetries in the dual theory, focusing on the case of models with gauge symmetry U (2) or SU (2). We find that SU (2) adjoint SQCD with one flavor and zero superpotential is dual to SQED with two flavors and three singlets. As a byproduct, we recover several dualities for theories with N = 2 and N = 4 supersymmetry, including the duality appetizer of Jafferis and Yin.

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

Cited by 41 publications

References 75 publications

Living on the walls of super-QCD

Living on the walls of super-QCD

Branes, partition functions, and quadratic monopole superpotentials

Dualities for adjoint SQCD in three dimensions and emergent symmetries

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