OP2 bundles in M-theory

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Ramond has observed that the massless multiplet of 11-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 11-manifolds Y 11. The lift of the topological terms gives constraints on the cohomology of Y 11 which are derived. Topological structures and genera on Y11 are related to corresponding ones on the total space M27. 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.

Original languageEnglish (US)
Pages (from-to)495-530
Number of pages36
JournalCommunications in Number Theory and Physics
Issue number3
StatePublished - Sep 2009

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Mathematical Physics
  • General Physics and Astronomy


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