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Tinkertoys for the $E_8$ Theory

· 2018 · hep-th · arXiv 1802.09626

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it
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abstract

We construct the 4D N=2 SCFTs of class-S, which stem from the $E_8$ (2,0) theory. There are 49,836 isolated SCFTs which arise as 3-punctured spheres. Of these, 149 are "mixed" (contain free hypermultiplets accompanying the interacting SCFT) and 775 have enhanced global symmetries (beyond the manifest global symmetry associated to the punctures). Among the 49,836 3-punctured spheres we find (after removing any free hypermultiplets which may be present) 29 that are product SCFTs. Turning to 4-punctured spheres, we find 1,025,438 4D SCFTs arising as a gauging (with a simple gauge group) of a pair of 3-punctured spheres. We discuss a number of applications, including recovering several known 4D SCFTs. Our full set of results can be accessed on the Web at https://golem.ph.utexas.edu/class-S/E8/ .

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hep-th 2 math-ph 1

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2026 2 2024 1

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UNVERDICTED 2 ACCEPT 1

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representative citing papers

5d Trinions and Tetraons

hep-th · 2026-05-15 · accept · novelty 7.0

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.

From Quivers to Geometry: 5d Conformal Matter

hep-th · 2026-05-04 · unverdicted · novelty 6.0

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.

citing papers explorer

Showing 3 of 3 citing papers.

  • 5d Trinions and Tetraons hep-th · 2026-05-15 · accept · none · ref 75 · internal anchor

    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.

  • From Quivers to Geometry: 5d Conformal Matter hep-th · 2026-05-04 · unverdicted · none · ref 56

    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.

  • Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states math-ph · 2024-11-27 · unverdicted · none · ref 88 · internal anchor

    A comprehensive introduction to spectral networks that develops higher-rank Teichmüller theory in parallel with class S gauge theory and BPS spectra.