Super geometry

V. S. Varadarajan
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V. S. Varadarajan: University of California, Department of Mathematics

Chapter Chapter 4 in Reflections on Quanta, Symmetries, and Supersymmetries, 2011, pp 93-120 from Springer

Abstract: Abstract Supersymmetry was discovered by physicists around 1970. At first it was just a device for treating the bosonic and fermionc aspects of quantum statistical mechanics and quantum field theory on an equal footing. Eventually, due to the remarkable ideas and contributions of many physicists and mathematicians, supersymmetry came to be understood as the symmetry of a new kind of geometrical object, namely, a super manifold. The super manifolds are objects in super geometry, which is a deep generalization of conventional differential and algebraic geometry. The symmetries of super manifolds form super Lie groups.

Keywords: Local Ring; Tensor Category; Contravariant Functor; Classical Geometry; Ringed Space (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-1-4419-0667-0_4

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