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Unification of spins and charges in Grassmann space and in space of differential forms

Polynomials in Grassmann space can be used to describe all the internal degrees of freedom of spinors, scalars and vectors, that is their spins and charges. It was shown that Kähler spinors, which are polynomials of differential forms, can be generalized to describe not only spins of spinors but als...

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Autores principales: Mankoc-Borstnik, Norma, Nielsen, Holger Bech
Lenguaje:eng
Publicado: 2000
Materias:
Acceso en línea:http://cds.cern.ch/record/424807
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author Mankoc-Borstnik, Norma
Nielsen, Holger Bech
author_facet Mankoc-Borstnik, Norma
Nielsen, Holger Bech
author_sort Mankoc-Borstnik, Norma
collection CERN
description Polynomials in Grassmann space can be used to describe all the internal degrees of freedom of spinors, scalars and vectors, that is their spins and charges. It was shown that Kähler spinors, which are polynomials of differential forms, can be generalized to describe not only spins of spinors but also spins of vectors as well as spins and charges of scalars, vectors and spinors. If the space (ordinary and noncommutative) has 14 dimensions or more, the appropriate spontaneous break of symmetry leads gravity in $d$ dimensions to manifest in four dimensional subspace as ordinary gravity and all needed gauge fields as well as the Yukawa couplings. Both approaches, the Kähler's one (if generalized) and our, manifest four generations of massless fermions, which are left handed SU(2) doublets and right handed SU(2) singlets. In this talk a possible way of spontaneously broken symmetries is pointed out on the level of canonical momentum.
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institution Organización Europea para la Investigación Nuclear
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publishDate 2000
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spelling cern-4248072023-03-14T19:00:02Zhttp://cds.cern.ch/record/424807engMankoc-Borstnik, NormaNielsen, Holger BechUnification of spins and charges in Grassmann space and in space of differential formsParticle Physics - TheoryPolynomials in Grassmann space can be used to describe all the internal degrees of freedom of spinors, scalars and vectors, that is their spins and charges. It was shown that Kähler spinors, which are polynomials of differential forms, can be generalized to describe not only spins of spinors but also spins of vectors as well as spins and charges of scalars, vectors and spinors. If the space (ordinary and noncommutative) has 14 dimensions or more, the appropriate spontaneous break of symmetry leads gravity in $d$ dimensions to manifest in four dimensional subspace as ordinary gravity and all needed gauge fields as well as the Yukawa couplings. Both approaches, the Kähler's one (if generalized) and our, manifest four generations of massless fermions, which are left handed SU(2) doublets and right handed SU(2) singlets. In this talk a possible way of spontaneously broken symmetries is pointed out on the level of canonical momentum.Polynomials in Grassmann space can be used to describe all the internal degrees of freedom of spinors, scalars and vectors, that is their spins and charges. It was shown that K\"ahler spinors, which are polynomials of differential forms, can be generalized to describe not only spins of spinors but also spins of vectors as well as spins and charges of scalars, vectors and spinors. If the space (ordinary and noncommutative) has 14 dimensions or more, the appropriate spontaneous break of symmetry leads gravity in $d$ dimensions to manifest in four dimensional subspace as ordinary gravity and all needed gauge fields as well as the Yukawa couplings. Both approaches, the K\"ahler's one (if generalized) and our, manifest four generations of massless fermions, which are left handed SU(2) doublets and right handed SU(2) singlets. In this talk a possible way of spontaneously broken symmetries is pointed out on the level of canonical momentum.hep-th/0001196IJS-TP-99-31oai:cds.cern.ch:4248072000-01-31
spellingShingle Particle Physics - Theory
Mankoc-Borstnik, Norma
Nielsen, Holger Bech
Unification of spins and charges in Grassmann space and in space of differential forms
title Unification of spins and charges in Grassmann space and in space of differential forms
title_full Unification of spins and charges in Grassmann space and in space of differential forms
title_fullStr Unification of spins and charges in Grassmann space and in space of differential forms
title_full_unstemmed Unification of spins and charges in Grassmann space and in space of differential forms
title_short Unification of spins and charges in Grassmann space and in space of differential forms
title_sort unification of spins and charges in grassmann space and in space of differential forms
topic Particle Physics - Theory
url http://cds.cern.ch/record/424807
work_keys_str_mv AT mankocborstniknorma unificationofspinsandchargesingrassmannspaceandinspaceofdifferentialforms
AT nielsenholgerbech unificationofspinsandchargesingrassmannspaceandinspaceofdifferentialforms