On the Implementation of Supersymmetry

  • Buchholz D
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Abstract

The implementation of supersymmetry transformations by Hilbert space operators is discussed in the framework of supersymmetric C$^*$--dynamical systems. It is shown that the only states admitting such an implementation are pure supersymmetric ground states or mixtures and elementary excitations thereof. Faithful states, such as KMS--states, are never supersymmetric.

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Buchholz, D. (2007). On the Implementation of Supersymmetry. In Theoretical Physics Fin de Siècle (pp. 211–220). Springer Berlin Heidelberg. https://doi.org/10.1007/3-540-46700-9_14

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