6d Conformal Matter

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.

v3: 63 pages, 28 figures, references and clarifications added

References in corpus (7)

• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• T-Branes and Monodromy
• Anomaly polynomial of general 6d SCFTs
• Holography for (1,0) theories in six dimensions
• Anomaly polynomial of E-string theories
• N = 1 SCFTs from Brane Monodromy
• T-branes and Yukawa Couplings

Cited by in corpus (17)

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• Integrability and Holographic Aspects of Six-Dimensional $\mathcal{N}=(1,0)$ Superconformal Field Theories
• Equivalence of several descriptions for 6d SCFT
• Small instanton transitions for M5 fractions
• Multiple Fibrations in Calabi-Yau Geometry and String Dualities
• There and back again: A T-brane's tale
• Generic matter representations in 6D supergravity theories
• Exotic matter on singular divisors in F-theory
• Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d
• Testing 5d-6d dualities with fractional D-branes
• Symmetry enhancements via 5d instantons, qW-algebrae and (1,0) superconformal index
• Five-Brane Webs and Highest Weight Representations
• E(lementary) Strings in Six-Dimensional Heterotic F-Theory
• Non-Geometric Vacua of the $\text{Spin}(32)/{\mathbb{Z}}_2$ Heterotic String and Little String Theories
• T-branes and defects