Generalised Chern–Simons Theory and G2-Instantons over Associative Fibrations
نویسنده
چکیده
Adjusting conventional Chern–Simons theory to G2-manifolds, one describes G2-instantons on bundles over a certain class of 7-dimensional flat tori which fiber nontrivially over T , by a pullback argument. Moreover, if c2 6= 0, any (generic) deformation of the G2-structure away from such a fibred structure causes all instantons to vanish. A brief investigation in the general context of (conformally compatible) associative fibrations f : Y 7 → X relates G2-instantons on pullback bundles f∗E → Y and self-dual connections on the bundle E → X over the base, a fact which may be of independent interest.
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