44 citations · 77 across the 7 of their papers we have counts for
7 papers
On Supergroups with Odd Clifford Parameters and Supersymmetry with Modified Leibniz Rule
Z. Kuznetsova, M. Rojas, F. Toppan
We investigate supergroups with Grassmann parameters replaced by odd Clifford parameters. The connection with non-anticommutative supersymmetry is discussed. A Berezin-like calculu…
Non-commutative solitons and strong-weak duality
H. Blas, H. L. Carrion, M. Rojas
Some properties of the non-commutative versions of the sine-Gordon model (NCSG) and the corresponding massive Thirring theories (NCMT) are studied. Our method relies on the NC exte…
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…
Octonionic Realizations of 1-dimensional Extended Supersymmetries. A Classification
H. L. Carrion, M. Rojas, F. Toppan
The classification of the octonionic realizations of the one-dimensional extended supersymmetries is here furnished. These are non-associative realizations which, albeit inequivale…
Arithmetic Multivariate Descartes' Rule
J. Maurice Rojas
Let L be any number field or -adic field and consider F:=(f_1,...,f_k) where f_i is in L[x_1,...,x_n]\{0} for all i and there are exactly m distinct exponent vectors…
An N=8 Superaffine Malcev Algebra and Its N=8 Sugawara
H. L. Carrion, M. Rojas, F. Toppan
A supersymmetric affinization of the algebra of octonions is introduced. It satisfies a super-Malcev property and is N=8 supersymmetric. Its Sugawara construction recovers, in a sp…