The Jordan Pair content of the magic square and the geometry of the scalars in N=2 supergravity

Details The Jordan Pair content of the magic square and the geometry of the scalars in N=2 supergravity The Jordan Pair content of the magic square and the geometry of the scalars in N=2 supergravity

Apr 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985lmaph...9..255t&link_type=abstract

Letters in Mathematical Physics, Volume 9, Issue 3, pp.255-261

Mathematics

Mathematical Physics

3

Scientific paper

The close connection between Jordan and Lie algebras makes these Jordan structures of interest to physicists. The Freudenthal-Tits Magic Square, which exemplifies this connection, has recently entered into constructing supergravity. We show how Jordan pairs-which are, from several points of view, a most natural Jordan structure-are imbedded in the Magic Square. We compare our approach with that of Gürsey and show show the Hermitian symmetric spaces parametrized by the scalars of N=2, d=4 supergravity theories are related either to Jordan pairs or to geometries of projective dimension two, whose elements belong to a Jordan pair.

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