On the Irreps of the N-Extended Supersymmetric Quantum Mechanics and Their Fusion Graphs

Abstract

In this talk we review the classification of the irreducible representations of the algebra of the N-extended one-dimensional supersymmetric quantum mechanics presented in hep-th/0511274. We answer some issues raised in hep-th/0611060, proving the agreement of the results here contained with those in hep-th/0511274. We further show that the fusion algebra of the 1D N-extended supersymmetric vacua introduced in hep-th/0511274 admits a graphical presentation. The N=2 graphs are here explicitly presented for the first time.

arXiv comment9 pages, 4 figures, talk given at the 22nd Max Born Symposium in honour of the 70th birthday of Prof. J. Lukierski, Wroclaw, Sept. 2006

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