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arXiv · 1501.06316

Noncommutative Supergeometry and Quantum Supergroups

Axel de Goursac
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Abstract

This is a review of concepts of noncommutative supergeometry - namely Hilbert superspace, C*-superalgebra, quantum supergroup - and corresponding results. In particular, we present applications of noncommutative supergeometry in harmonic analysis of Lie supergroups, non-formal deformation quantization of supermanifolds, quantum field theory on noncommutative spaces; and we give explicit examples such as deformation of flat superspaces, noncommutative supertori, solvable topological quantum supergroups.

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BibTeXRIS

Axel de Goursac. 2015-01-26. Noncommutative Supergeometry and Quantum Supergroups. https://doi.org/10.1088/1742-6596%2F597%2F1%2F012028

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