Irreps and Off-shell Invariant Actions of the N-extended Supersymmetric Quantum Mechanics

Nota de FísicaPublicado

Irreps and Off-shell Invariant Actions of the $N$ -extended Supersymmetric Quantum Mechanics

23/10/2006

Autores: —
Tipo: Nota de Física
Status: Publicado
Data de publicação: 23/10/2006
Descrição: The complete classification of the irreducible representations of the $N$-extended one-dimensional supersymmetry algebra linearly realized on a finite number of fields is presented. Off-shell invariant actions of one-dimensional supersymmetric sigma models are constructed. The role of both Clifford algebras and the Cayley-Dickson's doublings of algebras in association with the $N$-extended supersymmetries is discussed. We prove in specific examples that the octonionic structure constants enter the $N=8$ invariant actions as coupling constants. We further explain how to relate one-dimensional supersymmetric quantum mechanical systems to the dimensional reduction of higher-dimensional supersymmetric theories.
Ano: 2006
Vínculo com tese: Não
Vínculo com bolsa: Não