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3d mirrors of the circle reduction of twisted $A_{2N}$ theories of class $\mathsf{S}$

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arxiv 2007.05019 v2 pith:ETI7MFHM submitted 2020-07-09 hep-th

classification hep-th
keywords theoriesmirrorquiverbranchcircleclassdescriptiondimensional
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Mirror symmetry has proven to be a powerful tool to study several properties of higher dimensional superconformal field theories upon compactification to three dimensions. We propose a quiver description for the mirror theories of the circle reduction of twisted $A_{2N}$ theories of class $\mathsf{S}$ in four dimensions. Although these quivers bear a resemblance to the star-shaped quivers previously studied in the literature, they contain unitary, symplectic and special orthogonal gauge groups, along with hypermultiplets in the fundamental representation. The vacuum moduli spaces of these quiver theories are studied in detail. The Coulomb branch Hilbert series of the mirror theory can be matched with that of the Higgs branch of the corresponding four dimensional theory, providing a non-trivial check of our proposal. Moreover various deformations by mass and Fayet-Iliopoulos terms of such quiver theories are investigated. The fact that several of them flow to expected theories also gives another strong support for the proposal. Utilising the mirror quiver description, we discover a new supersymmetry enhancement renormalisation group flow.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On Twisted $A_{2n}$ Class-S Theories

    hep-th 2024-11 conditional novelty 7.0 of 10

    A proposed formula and puncture data for twisted A2n Coulomb branch dimensions, built on a conjectured metaplectic special map d'.

  2. Even More On Twisted $A_{2n}$ Class-S Theories

    hep-th 2024-11 conditional novelty 6.0 of 10

    An order-4 twist automorphism and local polynomial constraints determine the Coulomb branch Hitchin systems for twisted A_{2n} class-S punctures, with explicit Seiberg-Witten curves for examples.

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