The Jordan pair content of the magic square and the geometry of the scalars in \(N=2\) supergravity

DOI10.1007/BF00402838zbMath0577.17013OpenAlexW1998795493MaRDI QIDQ1065919

L. C. Biedenharn, Piero Truini, Gennaro Olivieri

Publication date: 1985

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00402838

zbMATH Keywords

supergravityHermitian symmetric spacesFreudenthal-Tits magic squareJordan pairs

Mathematics Subject Classification ID

Supergravity (83E50) Exceptional Jordan structures (17C40)

Related Items (6)

Scalar manifolds and Jordan pairs in supergravity ⋮ Invariant differential operators for non-compact Lie algebras parabolically related to conformal Lie algebras ⋮ Vertex operator construction of nonassociative algebras and their affinizations ⋮ Improved even order magic square construction algorithms and their applications in multi-user shared electronic accounts ⋮ Exceptional Lie algebras at the very foundations of space and time ⋮ Quaternionic Kähler manifolds, constrained instantons and the magic square. I.

Cites Work

• International symposium on mathematical problems in theoretical physics, January 23-29, 1975, Kyoto University, Kyoto/Japan
• Moufang plane and octonionic quantum mechanics
• Exceptional groups and elementary particle structures
• Lie groups in the foundations of geometry
• Jordan algebras and their applications
• An ℰ6⊗𝒰(1) invariant quantum mechanics for a Jordan pair
• Construction of Lie algebras and Lie superalgebras from ternary algebras

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