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19942005
most citedExceptional Structures in Mathematics and Physics and the Role of the Octonions

3 citations · 4 across the 3 of their papers we have counts for

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hep-th200823 cited

Wigner Oscillators, Twisted Hopf Algebras and Second Quantization

P. G. Castro, B. Chakraborty, F. Toppan

By correctly identifying the role of central extension in the centrally extended Heisenberg algebra h, we show that it is indeed possible to construct a Hopf algebraic structure on…

hep-th20075 cited

Chern-Simons AdS_5 supergravity in a Randall-Sundrum background

Richard S. Garavuso, Francesco Toppan

Chern-Simons AdS supergravity theories are gauge theories for the super-AdS group. These theories possess a fermionic symmetry which differs from standard supersymmetry. In this pa…

hep-th200740 cited

Refining the classification of the irreps of the 1D N-Extended Supersymmetry

Zhanna Kuznetsova, Francesco Toppan

The linear finite irreducible representations of the algebra of the 1D -Extended Supersymmetric Quantum Mechanics are discussed in terms of their "connectivity" (a symbol encodi…

hep-th20066 cited

On the Irreps of the N-Extended Supersymmetric Quantum Mechanics and Their Fusion Graphs

Francesco Toppan

In this talk we review the classification of the irreducible representations of the algebra of the N-extended one-dimensional supersymmetric quantum mechanics presented in hep-th/0…

hep-th2005

On a Division Algebra Classification of Constrained Generalized Supersymmetries

Francesco Toppan

In this talk we present a division-algebra classification of the generalized supersymmetries admitting bosonic tensorial central charges. We show that for complex and quaternionic…

hep-th20033 cited

Exceptional Structures in Mathematics and Physics and the Role of the Octonions

Francesco Toppan

There is a growing interest in the logical possibility that exceptional mathematical structures (exceptional Lie and superLie algebras, the exceptional Jordan algebra, etc.) could…