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Seminários do IMPA

Teoria de Representações

Título
Quasi-nonassociativity from an exceptional spectrum-generating superalgebra.
Expositor
Francesco Toppan

CBPF
Data
Sexta-feira, 23 de março de 2018, 15:30
Local
Sala 228
Resumo

Exceptional Lie (super)algebras are derived from octonions. I present the Calogero-deformed quantum oscillator derived from the spectrum generating superalgebra F(4). Its spectrum is a direct sum of F(4) lowest weight representations. This system is a unique example of “quasi-nonassociativity”. This means, in particular, that the Calogero coupling constants are determined in terms of the octonionic structure constants. The Hilbert space is a 16-ple of square integrable functions.

This talk is based on the paper arXiv:1711.02923[math-ph], published in J. Math. Phys. 59, 022101  (2018)  in collaboration with N. Aizawa and Z. Kuznetsova.