In the nineteen sixties the top topic was group theory and the classification of elementary particles. Bunji Sakita, the inventor of the SU(6) theory, visited us at the University of Tokyo, and excited our interest in this theory.
The SU(6) theory combines particles with spin 0 and 1, or spin 1/2 and 3/2, in one representation. I noticed a beautiful parallelism between Bose particles and Fermi particles and wondered if they could be combined in one representation. Ignoring statistics, this is easy to do. All existing elementary particles can be expressed by the adjoint representation of the SU(9) group. Hirotaka Sugawara and I wrote a short note entitled “SU(9) Symmetry” published in 1965 [1].
Of course, I was not satisfied with this scheme since this only works for one particle states, i.e., in the case of Boltzmann statistics. I came to the thought of a boson-fermion mixture just before the short note in 1965. I looked for a real mathematical scheme and soon found that a hamiltonian...
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsBibliography
H. Miyazawa, H. Sugawara, Prog. Theor. Phys. 33 (1965) 771.
H. Miyazawa, Prog. Theor. Phys. 36 (1966) 1266.
H. Miyazawa, Phys. Rev. 170 (1968) 1586.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Kluwer Academic Publishers
About this entry
Cite this entry
Miyazawa, H. (2004). Birth of SuperAlgebra. In: Duplij, S., Siegel, W., Bagger, J. (eds) Concise Encyclopedia of Supersymmetry. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4522-0_4
Download citation
DOI: https://doi.org/10.1007/1-4020-4522-0_4
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-1338-6
Online ISBN: 978-1-4020-4522-6
eBook Packages: Springer Book Archive