On the classification of 6D SCFTs and generalized ADE orbifolds
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In this paper, the authors studied 6D superconformal eld theories (SCFTs) that can be constructed in F-theory and obtained all other SCFTs by bringing in a number of E-string theories and/or decorating curves in the base by non-minimal gauge algebras.Abstract:
We study (1; 0) and (2; 0) 6D superconformal eld theories (SCFTs) that can be constructed in F-theory. Quite surprisingly, all of them involve an orbifold singularity C 2 = with a discrete subgroup of U(2). When is a subgroup of SU(2), all discrete subgroups are allowed, and this leads to the familiar ADE classication of (2 ; 0) SCFTs. For more general U(2) subgroups, the allowed possibilities for 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.read more
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Atomic classification of 6D SCFTs
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Tensionless Strings and the Weak Gravity Conjecture
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Anomaly polynomial of general 6D SCFTs
TL;DR: In this article, the authors describe a method to determine the anomaly polynomials of general 6d N=(2,0) and N=(1-0) SCFTs, in terms of the anomaly matching on their tensor branches.
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Holography for (1,0) theories in six dimensions
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