Introduction to Division Algebras, Sphere Algebras and Twistors

1993/10/19 by Martin Cederwall, Cederwall, Martin · 1 citation
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9310115

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

arxiv created 1993/10/19 · openalex publication_date 1993/10/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A very basic introduction is given to the rôles 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.

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• The octonionic phase space Hopf map

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