### 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) |
---|---|

Pages (from-to) | 495-530 |

Number of pages | 36 |

Journal | Communications in Number Theory and Physics |

Volume | 3 |

Issue number | 3 |

DOIs | |

State | Published - Jan 1 2009 |

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### ASJC Scopus subject areas

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

### Cite this

**OP ^{2} bundles in M-theory.** / Sati, Hisham.

Research output: Contribution to journal › Article

^{2}bundles in M-theory',

*Communications in Number Theory and Physics*, vol. 3, no. 3, pp. 495-530. https://doi.org/10.4310/CNTP.2009.v3.n3.a3

^{2}bundles in M-theory. Communications in Number Theory and Physics. 2009 Jan 1;3(3):495-530. https://doi.org/10.4310/CNTP.2009.v3.n3.a3

}

TY - JOUR

T1 - OP2 bundles in M-theory

AU - Sati, Hisham

PY - 2009/1/1

Y1 - 2009/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=78650573951&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650573951&partnerID=8YFLogxK

U2 - 10.4310/CNTP.2009.v3.n3.a3

DO - 10.4310/CNTP.2009.v3.n3.a3

M3 - Article

AN - SCOPUS:78650573951

VL - 3

SP - 495

EP - 530

JO - Communications in Number Theory and Physics

JF - Communications in Number Theory and Physics

SN - 1931-4523

IS - 3

ER -