TY  - JOUR
AU  - Lledo, M. A.
PY  - 2020
DA  - 2020//
TI  - Superfields, Nilpotent Superfields and Superschemes dagger
T2  - Symmetry-Basel
JO  - Symmetry-Basel
SP  - 1024
EP  - 32pp
VL  - 12
IS  - 6
PB  - Mdpi
KW  - supergeometry
KW  - superfields
KW  - quantum field theory
AB  - 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.
UR  - https://arxiv.org/abs/1702.00755
UR  - https://doi.org/10.3390/sym12061024
DO  - 10.3390/sym12061024
LA  - English
N1  - WOS:000550827300001
ID  - Lledo2020
ER  -