116 citations · 1.1k across the 95 of their papers we have counts for
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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…
The symmetry algebras of Euclidean M-theory
Jerzy Lukierski, Francesco Toppan
We study the Euclidean supersymmetric D=11 M-algebras. We consider two such D=11 superalgebras: the first one is N=(1,1) self-conjugate complex-Hermitean, with 32 complex superchar…
Central extensions, classical non-equivariant maps and residual symmetries
Francesco Toppan
The arising of central extensions is discussed in two contexts. At first classical counterparts of quantum anomalies (deserving being named as "classical anomalies") are associated…
On the Octonionic M-algebra and Superconformal M-algebra
Francesco Toppan
It is shown that the -algebra related with the theory comes in two variants. Besides the standard algebra based on the real structure, an alternative octonionic formulat…
The N=2 Supersymmetric Heavenly Equation and Its Super-Hydrodynamical Reduction
Z. Popowicz, F. Toppan
Manifest N=2 supersymmetric Toda systems are constructed from the superalgebras by taking into account their complex structure. In the continuum limit an…
Quaternionic and Octonionic Spinors. A Classification
H. L. Carrion, M. Rojas, F. Toppan
Quaternionic and octonionic realizations of Clifford algebras and spinors are classified and explicitly constructed in terms of recursive formulas. The most general free dynamics i…