Physics NotePublished
Refining the classification of the irreps of the 1D N-Extended Supersymmetry
Zhanna Kuznetsova; F. Toppan
Publication details
- Authors
- Zhanna Kuznetsova; F. Toppan
- Type
- Physics Note
- Status
- Published
- Publication date
- 29/07/2010
- Description
- In hep-th/0511274 the classification of the fields content of the linear finite irreducible representations of the algebra of the $1D$ $N$-Extended Supersymmetric Quantum Mechanics was given. In hep-th/0611060 it was pointed out that certain irreps with the same fields content can be regarded as inequivalent. This result can be understood in terms of the ``connectivity" properties of the graphs associated to the irreps. We present here a classification of the connectivity of the irreps, refining the hep-th/0511274 classification based on fields content. As a byproduct, we find a counterexample to the hep-th/0611060 claim that the connectivity is uniquely specified by the {\em sources} and {\em targets} of an irrep graph. We produce one pair of $N=5$ irreps and three pairs of $N=6$ irreps with the same number of sources and targets which, nevertheless, differ in connectivity.
- Year
- 2006
- Number
- CBPF-NF-020/06
- Linked to a thesis
- No
- Linked to a grant
- No