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Supersolutions. (English) Zbl 1170.81431
Deligne, Pierre (ed.) et al., Quantum fields and strings: a course for mathematicians. Vol. 1, 2. Material from the Special Year on Quantum Field Theory held at the Institute for Advanced Study, Princeton, NJ, 1996–1997. Providence, RI: AMS, American Mathematical Society (ISBN 0-8218-1987-9/vol.1; 0-8218-1988-7/vol.2; 0-8218-1198-3/set). 227-355 (1999).
Summary: We develop classical globally supersymmetric theories. As much as possible, we treat various dimensions and various amounts of supersymmetry in a uniform manner. We discuss theories both in components and in superspace. Throughout we emphasize geometric aspects. The beginning chapters give a general discussion about supersymmetric field theories; then we move on to detailed computations of lagrangians, etc. in specific theories. An appendix details our sign conventions.
For the entire collection see [Zbl 0984.00503].

81T60 Supersymmetric field theories in quantum mechanics
58A50 Supermanifolds and graded manifolds
58C50 Analysis on supermanifolds or graded manifolds
58E30 Variational principles in infinite-dimensional spaces
81-02 Research exposition (monographs, survey articles) pertaining to quantum theory
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