Introduction to Division Algebras, Sphere Algebras and Twistors

Martin Cederwall

Introduction to Division Algebras, Sphere Algebras and Twistors

High Energy Physics - Theory 2007-05-23 v1

Authors: Martin Cederwall

Abstract

A very basic introduction is given to the r\^oles of division algebras and the related sphere algebras concerning the structure of space-time in the dimensionalities $D\is 3,4,6$ and $10$ , with special emphasis on twistors transformations for light-likeness conditions and Hopf maps, together with some outlook for particle and string theory.

Keywords

division algebras sphere algebras twistors spacetime dimensions Hopf maps light-likeness

Cite

@article{arxiv.hep-th/9310115,
  title  = {Introduction to Division Algebras, Sphere Algebras and Twistors},
  author = {Martin Cederwall},
  journal= {arXiv preprint arXiv:hep-th/9310115},
  year   = {2007}
}

Comments

10 pages, Goeteborg-ITP-93-43. Inputs: phyzzx, epsf. Uuencoded figure file appended

Introduction to Division Algebras, Sphere Algebras and Twistors

Abstract

Keywords

Cite

Comments

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