Mathematical Foundations of Supersymmetry
L. Caston, R. Fioresi
TL;DR
This paper establishes the mathematical groundwork for studying supervarieties and supergroups, focusing on their differentiable and algebraic structures to facilitate further research in supersymmetry.
Contribution
It provides a systematic framework for the theory of supervarieties and supergroups, bridging differential and algebraic approaches.
Findings
Developed foundational definitions and properties of supervarieties.
Established a systematic approach to supergroup structures.
Laid groundwork for future research in supersymmetry and supergeometry.
Abstract
We lay down the foundations for a systematic study of differentiable and algebraic supervarieties, with a special attention to supergroups.
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Taxonomy
TopicsMathematics and Applications · Advanced Algebra and Logic · Matrix Theory and Algorithms