Addendum to "Classification of irreducible holonomies of torsion-free affine connection"

Abstract

The real form Spin(6,H) in End(R^{32}) of Spin(12,C) in End(C^{32}) is absolutely irreducible and thus satisfies the algebraic identities (40) and (41). Therefore, it also occurs as an exotic holonomy and the associated supermanifold M_g admits a SUSY-invariant polynomial. This real form has been erroneously omitted in our paper. Also, the two real four-dimensional exotic holonomies, whose occurrences were un known at the time of writing, have been shown to exist very recently by R. Bryant.

arXiv comment3 pages, published version, abstract added in migration

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