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3d dualities from 2d free field correlators: recombination and rank stabilization

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arxiv 1905.05807 v3 pith:FSIVRR7A submitted 2019-05-14 hep-th

classification hep-th
keywords theorydualitiescorrelatorsdualityfieldfreeproposerank
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We propose various new 3d N=2 dualities exploiting their recently discovered connection to the duality relations for 2d free field CFT correlators. Most of the dualities involve, as the main building block, a quiver theory with monopole superpotential which enjoys various interesting properties such as being self-dual and reducing, in a suitable real mass deformation, to the familiar T[SU(N)] theory. In particular we propose a duality for the U(N) theory with one adjoint and k+1 fundamental flavors. By iterating some basic dualities we can bring the theory to a stable form which, in turns, allows us to find a dual frame where the rank of the original theory appears as a parameter.

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Cited by 3 Pith papers

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

  1. Rank $Q$ E-string on a torus with flux

    hep-th 2019-08 conditional novelty 7.0 of 10

    A proposed 4d quiver theory E[USp(2Q)] is claimed to encode torus compactifications of rank-Q E-string theory, with emergent USp(2Q)xUSp(2Q)xU(1)^2 symmetry supported by index and anomaly checks.

  2. Boundary lines and Askey-Wilson type moments

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    Wilson line defect half-indices for 3d N=2 theories with confining boundaries are exactly Askey-Wilson type moments, obtained via dual vortex defects and effective spin shifts in the index computation.

  3. On Complex Gamma-Function Integrals

    math-ph 2019-08 conditional novelty 6.0 of 10

    Two complex gamma-function integral identities are proved directly and shown to imply star-triangle relations and the Dotsenko-Fateev duality in a classical limit.

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