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Article

Superfields, Nilpotent Superfields and Superschemes †

Departament de Física Teòrica, Universitat de València and IFIC (CSIC-UVEG) C/Dr. Moliner 50, E-46100 Burjassot (València), Spain
To the memory of Prof. V. S. Varadarajan.
Symmetry 2020, 12(6), 1024; https://doi.org/10.3390/sym12061024
Received: 11 May 2020 / Revised: 10 June 2020 / Accepted: 14 June 2020 / Published: 17 June 2020
We interpret superfields in a functorial formalism that explains the properties that are assumed for them in the physical applications. We study the non-trivial relation of scalar superfields with the defining sheaf of the supermanifold of super spacetime. We also investigate in the present work some constraints that are imposed on the superfields, which allow for non-trivial solutions. They give rise to superschemes that, generically, are not regular, that is they do not define a standard supermanifold. View Full-Text
Keywords: supergeometry; superfields; quantum field theory supergeometry; superfields; quantum field theory
MDPI and ACS Style

Lledó, M.A. Superfields, Nilpotent Superfields and Superschemes. Symmetry 2020, 12, 1024. https://doi.org/10.3390/sym12061024

AMA Style

Lledó MA. Superfields, Nilpotent Superfields and Superschemes. Symmetry. 2020; 12(6):1024. https://doi.org/10.3390/sym12061024

Chicago/Turabian Style

Lledó, María Antonia. 2020. "Superfields, Nilpotent Superfields and Superschemes" Symmetry 12, no. 6: 1024. https://doi.org/10.3390/sym12061024

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