On the defect group of a 6D SCFT
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Publication:295869
DOI10.1007/S11005-016-0839-5zbMATH Open1372.32034arXiv1503.04806OpenAlexW10129282MaRDI QIDQ295869
Author name not available (Why is that?)
Publication date: 14 June 2016
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/1503.04806
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