6d Conformal matter
By M. Del Zotto, J. Heckman, A. Tomasiello, C. Vafa. Journal of High Energy Physics, 2014
328 citations recorded by the source corpus.
A single M5-brane probing G, an ADE-type singularity, leads to a system which has G × G global symmetry and can be viewed as “bifundamental” (G, G) matter. For the AN 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 Hořava-Witten wall leads to a superconformal matter system with E8 × 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 Hořava-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.
Subfields: Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/ae1a5b1fc0833f9e3d3ffa9293c948537e58e647
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Citations in the corpus
- Atomic classification of 6D SCFTs (2015, methodology): “In these cases, it is possible to consider boundary conditions “at infinity” for our configuration [22] (see also [24]).”
- On the Defect Group of a 6D SCFT (2015, background): “[18,19]).”
- Top down approach to 6D SCFTs (2018, methodology): “In [64], it was given the name “6D conformal matter” since it appears at a localized point of an intersecting seven-brane configuration, much as an ordinary hypermultiplet.”
- Geometric Engineering, Mirror Symmetry and 6d (1,0) -> 4d, N=2 (2015, methodology): “The blow up geometry of this class of examples has been worked out [3] (see also appendix B of [23]).”
- Anomaly polynomial of general 6D SCFTs (2014, methodology): “Let us list the structure of the “conformal matters” at the point on the tensor branch we use to identify the anomaly polynomial, following [13].”