The anomaly field theories of six-dimensional $(2,0)$ superconformal theories

We construct $7$-dimensional quantum field theories encoding the anomalies of conformal field theories with $(2,0)$ supersymmetry in six dimensions. We explain how the conformal blocks of the $(2,0)$ theories arise in this context. A result of independent interest is a detailed specification of the data required to define a $(2,0)$ theory with topologically non-trivial spacetime and $\mathrm{R}$-symmetry bundle.

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Published 15 July 2019