Superfields, Nilpotent Superfields and Superschemes

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 som...

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Bibliographic Details
Main Author:	María Antonia Lledó
Format:	Article
Language:	English
Published:	MDPI AG 2020-06-01
Series:	Symmetry
Subjects:	supergeometry superfields quantum field theory
Online Access:	https://www.mdpi.com/2073-8994/12/6/1024

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record_format	Article
spelling	doaj-6518479e4201486abc935f2714c000852020-11-25T02:52:00ZengMDPI AGSymmetry2073-89942020-06-01121024102410.3390/sym12061024Superfields, Nilpotent Superfields and SuperschemesMaría Antonia Lledó0Departament de Física Teòrica, Universitat de València and IFIC (CSIC-UVEG) C/Dr. Moliner 50, E-46100 Burjassot (València), SpainWe 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.https://www.mdpi.com/2073-8994/12/6/1024supergeometrysuperfieldsquantum field theory
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	María Antonia Lledó
spellingShingle	María Antonia Lledó Superfields, Nilpotent Superfields and Superschemes Symmetry supergeometry superfields quantum field theory
author_facet	María Antonia Lledó
author_sort	María Antonia Lledó
title	Superfields, Nilpotent Superfields and Superschemes
title_short	Superfields, Nilpotent Superfields and Superschemes
title_full	Superfields, Nilpotent Superfields and Superschemes
title_fullStr	Superfields, Nilpotent Superfields and Superschemes
title_full_unstemmed	Superfields, Nilpotent Superfields and Superschemes
title_sort	superfields, nilpotent superfields and superschemes
publisher	MDPI AG
series	Symmetry
issn	2073-8994
publishDate	2020-06-01
description	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.
topic	supergeometry superfields quantum field theory
url	https://www.mdpi.com/2073-8994/12/6/1024
work_keys_str_mv	AT mariaantonialledo superfieldsnilpotentsuperfieldsandsuperschemes
_version_	1724731991432101888

Superfields, Nilpotent Superfields and Superschemes

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