The authors construct 5d SCFT trinions and tetraons with D flavor symmetry via M-theory, producing non-linear quivers with instanton symmetry enhancement and ruling out E-type cases.
Tinkertoys for the D_N series
4 Pith papers cite this work, alongside 137 external citations. Polarity classification is still indexing.
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abstract
We describe a procedure for classifying 4D N=2 superconformal theories of the type introduced by Davide Gaiotto. Any punctured curve, C, on which the 6D (2,0) SCFT is compactified, may be decomposed into 3-punctured spheres, connected by cylinders. The 4D theories, which arise, can be characterized by listing the "matter" theories corresponding to 3-punctured spheres, the simple gauge group factors, corresponding to cylinders, and the rules for connecting these ingredients together. Different pants decompositions of $ correspond to different S-duality frames for the same underlying family of 4D N=2 SCFTs. In a previous work [1], we developed such a classification for the A_{N-1} series of 6D (2,0) theories. In the present paper, we extend this to the D_N series. We outline the procedure for general D_N, and construct, in detail, the classification through D_4. We discuss the implications for S-duality in Spin(8) and Spin(7) gauge theory, and recover many of the dualities conjectured by Argyres and Wittig [2].
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The distinction between spinor and conjugate spinor matter in 5D SO(2N) gauge theories manifests as different boundary conditions on the Seiberg-Witten curve at O5-plane positions (w=±1).
All 5d balanced (ADE-shaped) SU quivers with no Chern-Simons level have UV completions as 5d conformal matter SCFTs realized by explicit local Calabi-Yau threefolds in M-theory.
A comprehensive introduction to spectral networks that develops higher-rank Teichmüller theory in parallel with class S gauge theory and BPS spectra.
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5d Trinions and Tetraons
The authors construct 5d SCFT trinions and tetraons with D flavor symmetry via M-theory, producing non-linear quivers with instanton symmetry enhancement and ruling out E-type cases.
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Thermodynamic limit for SO(2N) gauge theories with spinors/conjugate spinors
The distinction between spinor and conjugate spinor matter in 5D SO(2N) gauge theories manifests as different boundary conditions on the Seiberg-Witten curve at O5-plane positions (w=±1).
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From Quivers to Geometry: 5d Conformal Matter
All 5d balanced (ADE-shaped) SU quivers with no Chern-Simons level have UV completions as 5d conformal matter SCFTs realized by explicit local Calabi-Yau threefolds in M-theory.
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Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states
A comprehensive introduction to spectral networks that develops higher-rank Teichmüller theory in parallel with class S gauge theory and BPS spectra.