Physics NotePublished
Extended Supersymmetric Quantum Mechanics of Fierz and Schur Type
Zhanna Kuznetsova
Publication details
- Authors
- Zhanna Kuznetsova
- Type
- Physics Note
- Status
- Published
- Publication date
- 26/01/2011
- Description
- We discuss two independent constructions to introduce an ${N}$-extended Supersymmetric Quantum Mechanics. The first one makes use of the Fierz identities while the second one (divided into two subcases) makes use of the Schur lemma. The $N$ supercharges $Q_I$ are square roots of a free Hamiltonian $H$ given by the tensor product of a $D$-dimensional Laplacian and a $2d$-dimensional identity matrix operator. We present the mutual relations among $N$, $D$ and $d$. The $mod~8$ Bott's periodicity of Clifford algebras is encoded, in the Fierz case, in the Radon-Hurwitz function and, in the Schur case, in an extra independent function.
- Year
- 2010
- Number
- CBPF-NF004/10
- Linked to a thesis
- No
- Linked to a grant
- No