Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-07-30
Commun. Num. Theor. Phys 3:495-530,2009
Physics
High Energy Physics
High Energy Physics - Theory
Previous version split into two papers, based on a suggestion by the referee. This first part of 25 pages to appear in CNTP
Scientific paper
Ramond has observed that the massless multiplet of eleven-dimensional supergravity can be generated from the decomposition of certain representation of the exceptional Lie group F4 into those of its maximal compact subgroup Spin(9). The possibility of a topological origin for this observation is investigated by studying Cayley plane, OP2, bundles over eleven-manifolds Y. The lift of the topological terms gives constraints on the cohomology of Y which are derived. Topological structures and genera on Y are related to the corresponding ones on the total space M. The latter, being 27-dimensional, might provide a candidate for `bosonic M-theory'. The discussion leads to a connection with an octonionic version of Kreck-Stolz elliptic homology theory.
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