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.
Highlights
One of the remarkable developments in string theory is the close interplay between the geometry of its extra dimensions, and the resulting low energy theories
By studying the vacua of the 7d SYM theory, or equivalently the vacua of the flavor seven-branes, we show that partial Higgs branches of the T (G, N ) theories are classified by the orbits of nilpotent elements for the flavor symmetry factors
In this paper we have studied aspects of (1, 0) superconformal theories which arise in Mtheory when M5-branes probe an ADE singularity, possibly near an E8 wall
Summary
One of the remarkable developments in string theory is the close interplay between the geometry of its extra dimensions, and the resulting low energy theories. The strongly coupled conformal matter produced by the collision of two so2p+8 factors has a non-trivial tensor branch, consisting of a single tensor multiplet, an spp gauge theory, and a half hypermultiplet in the (2p + 8, 2p, 1) ⊕ (1, 2p, 2p + 8) of so2p+8×spp×so2p+8 In this case, we can view the M5-brane as fractionating to two 1/2 M5branes between which the gauge symmetry has changed from the so type to the sp type. There are new conformal theories coming from the partial Higgsing of theories involving M5-brane probes of the ADE singularities intersecting the Horava-Witten wall These theories are classified as T (E8, GR, γL, μR, N ): we have a theory of N M5-branes, and flavor symmetry E8 × GR which can be broken, as dictated by a nilpotent element μR ∈ g (and its associated orbit) for the right Lie algebra, as well as a homomorphism γL : ΓG → E8 corresponding to the choice of a flat E8 connection on S3/ΓG. As well as examples of generalized quiver theories in F-theory are presented in a set of appendices
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