OP2 bundles in M-theory

Research output: Contribution to journalArticle

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 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
Volume3
Issue number3
DOIs
StatePublished - Jan 1 2009

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Exceptional Lie Groups
M-Theory
Cayley
homology
Supergravity
Topological Structure
bundles
Cohomology
Homology
Bundle
Genus
Subgroup
Decompose
Term
subgroups
supergravity
fine structure
decomposition
Observation

ASJC Scopus subject areas

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

Cite this

OP2 bundles in M-theory. / Sati, Hisham.

In: Communications in Number Theory and Physics, Vol. 3, No. 3, 01.01.2009, p. 495-530.

Research output: Contribution to journalArticle

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