Abstract
We study (1, 0) and (2, 0) 6D superconformal field theories (SCFTs) that can be constructed in F-theory. Quite surprisingly, all of them involve an orbifold singularity ℂ2/Γ with Γ a discrete subgroup of U(2). When Γ is a subgroup of SU (2), all discrete subgroups are allowed, and this leads to the familiar ADE classification of (2, 0) SCFTs. For more general U(2) subgroups, the allowed possibilities for Γ are not arbitrary and are given by certain generalizations of the A- and D-series. These theories should be viewed as the minimal 6D SCFTs. We obtain all other SCFTs by bringing in a number of E-string theories and/or decorating curves in the base by non-minimal gauge algebras. In this way we obtain a vast number of new 6D SCFTs, and we conjecture that our construction provides a full list.
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03 June 2015
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ArXiv ePrint: 1312.5746
An erratum to this article can be found online at http://dx.doi.org/10.1007/JHEP06(2015)017.
An erratum to this article is available at https://doi.org/10.1007/JHEP06(2015)017.
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Heckman, J.J., Morrison, D.R. & Vafa, C. On the classification of 6D SCFTs and generalized ADE orbifolds. J. High Energ. Phys. 2014, 28 (2014). https://doi.org/10.1007/JHEP05(2014)028
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DOI: https://doi.org/10.1007/JHEP05(2014)028