On a Division Algebra Classification of Constrained Generalized Supersymmetries
Francesco Toppan
TL;DR
This paper classifies generalized supersymmetries with tensorial central charges using division algebras, highlighting constraints for complex and quaternionic cases and discussing potential applications in M-theory.
Contribution
It introduces a division-algebra-based classification of constrained generalized supersymmetries, expanding understanding of their algebraic structures.
Findings
Division-algebra constraints can be imposed on complex and quaternionic supersymmetries.
A classification scheme for supersymmetries with tensorial central charges is developed.
Potential applications to M-theory related systems are identified.
Abstract
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 supersymmetries a whole class of compatible division-algebra constraints can be imposed. Possible applications to M-theory related dynamical systems are briefly mentioned.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Advanced Topics in Algebra · Algebraic structures and combinatorial models