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On the Defect Group of a 6D SCFT

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arxiv 1503.04806 v1 pith:IYVUH4SP submitted 2015-03-16 hep-th

On the Defect Group of a 6D SCFT

Michele Del Zotto , Jonathan J. Heckman , Daniel S. Park , Tom Rudelius This is my paper
classification hep-th
keywords defectgroupchargesscftscftssurfacecorrespondingdata
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We use the F-theory realization of 6D superconformal field theories (SCFTs) to study the corresponding spectrum of stringlike, i.e. surface defects. On the tensor branch, all of the stringlike excitations pick up a finite tension, and there is a corresponding lattice of string charges, as well as a dual lattice of charges for the surface defects. The defect group is data intrinsic to the SCFT and measures the surface defect charges which are not screened by dynamical strings. When non-trivial, it indicates that the associated theory has a partition vector rather than a partition function. We compute the defect group for all known 6D SCFTs, and find that it is just the abelianization of the discrete subgroup of U(2) which appears in the classification of 6D SCFTs realized in F-theory. We also explain how the defect group specifies defining data in the compactification of a (1,0) SCFT.

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