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6d Conformal Matter

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

3 Pith papers citing it
abstract

A single M5-brane probing G, an ADE-type singularity, leads to a system which has G x G global symmetry and can be viewed as "bifundamental" (G,G) matter. For the A_N series, this leads to the usual notion of bifundamental matter. For the other cases it corresponds to a strongly interacting (1,0) superconformal system in six dimensions. Similarly, an ADE singularity intersecting the Horava-Witten wall leads to a superconformal matter system with E_8 x G global symmetry. Using the F-theory realization of these theories, we elucidate the Coulomb/tensor branch of (G,G') conformal matter. This leads to the notion of fractionalization of an M5-brane on an ADE singularity as well as fractionalization of the intersection point of the ADE singularity with the Horava-Witten wall. Partial Higgsing of these theories leads to new 6d SCFTs in the infrared, which we also characterize. This generalizes the class of (1,0) theories which can be perturbatively realized by suspended branes in IIA string theory. By reducing on a circle, we arrive at novel duals for 5d affine quiver theories. Introducing many M5-branes leads to large N gravity duals.

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hep-th 3

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2026 3

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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.

On non-relativistic integrable models and 4d SCFTs

hep-th · 2026-04-21 · unverdicted · novelty 6.0

Generalized Schur indices of N=2 class S theories are expressed using eigenfunctions of non-relativistic elliptic Calogero-Moser models, with extensions claimed for N=1 SCFTs via limits of models like Inozemtsev.

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Showing 3 of 3 citing papers.

  • 5d Trinions and Tetraons hep-th · 2026-05-15 · accept · none · ref 65 · 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 10

    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.

  • On non-relativistic integrable models and 4d SCFTs hep-th · 2026-04-21 · unverdicted · none · ref 127

    Generalized Schur indices of N=2 class S theories are expressed using eigenfunctions of non-relativistic elliptic Calogero-Moser models, with extensions claimed for N=1 SCFTs via limits of models like Inozemtsev.