Star shaped quivers in four dimensions

Abstract

We discuss a 4d Lagrangian descriptions, across dimensions IR dual, of compactifications of the 6d $(\text{D},\text{D})$ minimal conformal matter theory on a sphere with arbitrary number of punctures and a particular value of flux as a gauge theory with a simple gauge group. The Lagrangian has the form of a ``star shaped quiver'' with the rank of the central node depending on the 6d theory and the number and type of punctures. Using this Lagrangian one can construct across dimensions duals for arbitrary compactifications (any, genus, any number and type of $\text{USp}$ punctures, and any flux) of the $(\text{D},\text{D})$ minimal conformal matter gauging only symmetries which are manifest in the UV.

arXiv comment7 pages, 4 figures

References in corpus (15)

• N=2 dualities
• An Index for 4 dimensional Super Conformal Theories
• The Exact Superconformal R-Symmetry Maximizes a
• Atomic Classification of 6D SCFTs
• Mirrors of 3d Sicilian theories
• Bootstrapping the superconformal index with surface defects
• Anomaly polynomial of general 6d SCFTs
• Exactly Marginal Deformations and Global Symmetries
• The superconformal index of N=1 class S fixed points
• A new 5d description of 6d D-type minimal conformal matter
• E-String Theory on Riemann Surfaces
• D-type Conformal Matter and SU/USp Quivers
• Compactifications of ADE conformal matter on a torus
• Sequences of $6d$ SCFTs on generic Riemann surfaces
• Minimal $(D,D)$ conformal matter and generalizations of the van Diejen model

Cited by in corpus (4)

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• Quiver Polymerisation
• $G_2$-Manifolds from 4d N=1 Theories, Part I: Domain Walls
• D-type Minimal Conformal Matter: Quantum Curves, Elliptic Garnier Systems, and the 5d Descendants