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Hwang, Chiung; Kim, Hyungchul; Park, Jaemo

On 3d Seiberg-like dualities with two adjoints. (English) Zbl 1535.81230

Fortschr. Phys. 66, No. 11-12, Article ID 1800064, 47 p. (2018).
Summary: We study \(\mathcal{N} = 2\) 3-d theories with two adjoints and fundamental flavors along with D-type superpotential. For superpotential \(W_{D_{n + 2}} = \operatorname{Tr}(X^{n + 1} + XY^2)\) 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.
© 2018 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Cited in 12 Documents

MSC:

81T60 Supersymmetric field theories in quantum mechanics
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
81T13 Yang-Mills and other gauge theories in quantum field theory
83E50 Supergravity
83E30 String and superstring theories in gravitational theory

Keywords:

supergravity; superconformal theory
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