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arXiv · hep-th/9807186

Superconformal Symmetry in Six-dimensions and Its Reduction to Four

Jeong-Hyuck Park
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Abstract

Superconformal symmetry in six-dimensions is analyzed in terms of coordinate transformations on superspace. A superconformal Killing equation is derived and its solutions are identified in terms of supertranslations, dilations, Lorentz transformations, R-symmetry transformations and special superconformal transformations. The full superconformal symmetry, which is shown to form the group OSp(2,6|N), is possible only if the supersymmetry algebra has N spinorial generators of the same chirality, corresponding to (N,0) supersymmetry. The R-symmetry group is then Sp(N) and the corresponding superspace is R^{6|8N}. We define superinversion as a map to the associated superspace of opposite chirality. General formulae for two-point and three-point correlation functions of quasi-primary superfields are exhibited. The superconformal group in six-dimensions is reduced to a corresponding extended superconformal group in four-dimensions. Superconformally covariant differential operators are also discussed.

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Jeong-Hyuck Park. 1999-05-27. Superconformal Symmetry in Six-dimensions and Its Reduction to Four. https://doi.org/10.1016/s0550-3213(98)00720-2

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