On 7D TFT and 6D chiral CFT

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, v2: we have learned that the main results appear already in hep-th/0108152, see added notes at end of paper

Scientific paper

We perform a canonical and BRST analysis of a seven-dimensional Chern-Simons
theory on a manifold with boundary. The main result is that the 7D theory
induces for consistency a chiral two-form on the 6D boundary. We also comment
on similar behaviour in a five-dimensional Chern-Simons theory relevant for
$\N=4$ supersymmetric Yang-Mills theory in four dimensions.

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