On supersymmetric and topological quantum mechanical models

  • Laurent Baulieu
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 436)


We explain the details of two supersymmetric quantum mechanical models. Their simplicity make them solvable although they share the characteristics of more sophisticated models based on the gauge fixing of topological invariants. The first model is a supersymmetric quantum mechanical system defined on a punctured plane and leads to topological observables which we compute. The absences of a ground state and of a mass gap are special features of this system. The second model is the supersymmetric description of spin-one particles moving in D-dimensional space-time. We show that it is a topological model in a space with two more dimensions.


Gauge Function Ghost Number Topological Quantum Supersymmetric Quantum Mechanic BRST Symmetry 
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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • Laurent Baulieu
    • 1
  1. 1.LPTHE, Universités Pierre et Marie Curie and Denis DiderotParisFrance

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