Supersymmetry, supergravity, superspace and BRST symmetry in a simple model

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We give an introduction to rigid supersymmetry, supergravity and superspace by considering a quantum mechanical model. We analyze the constraints in superspace in this simplified model, and compare the Hamiltonian and Lagrangian BRST formalism.
Contribution to ``Graphs and Patterns in Mathematics and Theoretical Physics'', to appear in Proceedings of Symposia in Pure Mathematics, M. Lyubich and L. Takhtajan editors

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