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Superconformal Mechanics and the Super Virasoro Algebra

Alon Marcus
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Abstract

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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Alon Marcus. 2001-02-27. Superconformal Mechanics and the Super Virasoro Algebra. https://doi.org/10.1088/1126-6708%2F2001%2F02%2F043

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