## Abstract

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 Y^{11} are related to corresponding ones on the total space M^{27}. 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 language | English (US) |
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Pages (from-to) | 495-530 |

Number of pages | 36 |

Journal | Communications in Number Theory and Physics |

Volume | 3 |

Issue number | 3 |

DOIs | |

State | Published - Sep 2009 |

## ASJC Scopus subject areas

- Algebra and Number Theory
- Mathematical Physics
- Physics and Astronomy(all)

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