Exceptional supergravity theories and the magic square

M. Günaydin, G. Sierra, P. K. Townsend

Research output: Contribution to journalArticlepeer-review

231 Scopus citations


We derive the magic square of Freudenthal, Rozenfeld, and Tits from the geometry of a special class of N=2 Maxwell-Einstein supergravity theories. We also show that all of these theories are obtainable by truncation of N=8 supergravity theories in various spacetime dimensions d, except for an "exceptional" subclass, unique for a given d, which is associated with with the exceptional Jordan algebra of 3 × 3 hermitian octonionic matrices.

Original languageEnglish (US)
Pages (from-to)72-76
Number of pages5
JournalPhysics Letters B
Issue number1-2
StatePublished - Dec 8 1983

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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