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On The Role Of Division, Jordan And Related Algebras In Particle Physics (Hardcover)
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On The Role Of Division, Jordan And Related Algebras In Particle Physics (Hardcover)
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This monograph surveys the role of some associative and
non-associative algebras, remarkable by their ubiquitous appearance
in contemporary theoretical physics, particularly in particle
physics. It concerns the interplay between division algebras,
specifically quaternions and octonions, between Jordan and related
algebras on the one hand, and unified theories of the basic
interactions on the other. Selected applications of these algebraic
structures are discussed: quaternion analyticity of Yang-Mills
instantons, octonionic aspects of exceptional broken gauge,
supergravity theories, division algebras in anyonic phenomena and
in theories of extended objects in critical dimensions. The topics
presented deal primarily with original contributions by the
authors.
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