Scalar Manifolds and Jordan Pairs in Supergravity

Details Scalar Manifolds and Jordan Pairs in Supergravity Scalar Manifolds and Jordan Pairs in Supergravity

May 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ijtp...25..509t&link_type=abstract

International Journal of Theoretical Physics, Volume 25, Issue 5, pp.509-525

Physics

1

Scientific paper

It is shown how the concept of a Jordan pair, which generalizes that of Jordan algebra and links Jordan algebras to Lie algebras, enters a model for supergravity-studied recently by Günaydin, Sierra, and Townsend, called “magical supergravity.” This model is very briefly reviewed, as are the reasons that led, starting from the theory of Jordan algebras, to the definition and development of Jordan pairs. Examples of Jordan pairs are given, which show the beauty, simplicity, and usefulness of such objects.

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