Superconformal Mechanics and the Super Virasoro Algebra

Details Superconformal Mechanics and the Super Virasoro Algebra Superconformal Mechanics and the Super Virasoro Algebra

2001-01-02

arxiv.org/abs/hep-th/0101017v2

JHEP 0102 (2001) 043

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 12 pages, references added, a minor correction

Scientific paper

10.1088/1126-6708/2001/02/043

We consider N=1,2 superconformal mechanics in 0+1 dimensions and show that if the Hamiltonian is invertible the superconformal generators can be used to construct half of the super Virasoro algebra. The full algebra can be derived if the special conformal generator is also invertible. The generators are quantized and a general prescription is given for the construction of the N=1 algebra independently of the specific details of the superconformal mechanics provided that in addition its quadratic Casimir operator vanishes.

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