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More on the Matter of 6D SCFTs

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arxiv 1408.0006 v2 pith:GDJG6KXM submitted 2014-07-31 hep-th

More on the Matter of 6D SCFTs

classification hep-th
keywords m5-branestheoriesbranchdimensionmatteroperatorscalingscfts
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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M5-branes probing an ADE singularity lead to 6D SCFTs with (1,0) supersymmetry. On the tensor branch, the M5-branes specify domain walls of a 7D Super Yang-Mills theory with gauge group G of ADE-type, thus providing conformal matter for a broad class of generalized quiver theories. Additionally, these theories have G x G flavor symmetry, and a corresponding Higgs branch. In this note we use the F-theory realization of these theories to calculate the scaling dimension of the operator parameterizing seven-brane recombination, i.e. motion of the stack of M5-branes off of the orbifold singularity. In all cases with an interacting fixed point, we find that this operator has scaling dimension at least six, and defines a marginal irrelevant deformation.

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