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SU(5)-invariant decomposition of ten-dimensional Yang-Mills supersymmetry
The N=1,d=10 superYang-Mills action is constructed in a twisted form, using SU(5)-invariant decomposition of spinors in 10 dimensions. The action and its off-shell closed twisted scalar supersymmetry operator Q derive from a Chern-Simons term. The action can be decomposed as the sum of a term in the...
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Lenguaje: | eng |
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2010
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Acceso en línea: | https://dx.doi.org/10.1016/j.physletb.2010.12.044 http://cds.cern.ch/record/1293465 |
_version_ | 1780920823704453120 |
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author | Baulieu, Laurent |
author_facet | Baulieu, Laurent |
author_sort | Baulieu, Laurent |
collection | CERN |
description | The N=1,d=10 superYang-Mills action is constructed in a twisted form, using SU(5)-invariant decomposition of spinors in 10 dimensions. The action and its off-shell closed twisted scalar supersymmetry operator Q derive from a Chern-Simons term. The action can be decomposed as the sum of a term in the cohomology of Q and of a term that is Q-exact. The first term is a fermionic Chern-Simons term for a twisted component of the Majorana-Weyl gluino and it is related to the second one by a twisted vector supersymmetry with 5 parameters. The cohomology of Q and some topological observables are defined from descent equations. In this SU(5)<SO(10)$ invariant decomposition, the N=1, d=10 theory is determined by only 6 supersymmetry generators, as in the twisted N=4, d=4 theory. There is a superspace with 6 twisted fermionic directions, with solvable constraints. |
id | cern-1293465 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2010 |
record_format | invenio |
spelling | cern-12934652023-03-15T19:12:02Zdoi:10.1016/j.physletb.2010.12.044http://cds.cern.ch/record/1293465engBaulieu, LaurentSU(5)-invariant decomposition of ten-dimensional Yang-Mills supersymmetryParticle Physics - TheoryThe N=1,d=10 superYang-Mills action is constructed in a twisted form, using SU(5)-invariant decomposition of spinors in 10 dimensions. The action and its off-shell closed twisted scalar supersymmetry operator Q derive from a Chern-Simons term. The action can be decomposed as the sum of a term in the cohomology of Q and of a term that is Q-exact. The first term is a fermionic Chern-Simons term for a twisted component of the Majorana-Weyl gluino and it is related to the second one by a twisted vector supersymmetry with 5 parameters. The cohomology of Q and some topological observables are defined from descent equations. In this SU(5)<SO(10)$ invariant decomposition, the N=1, d=10 theory is determined by only 6 supersymmetry generators, as in the twisted N=4, d=4 theory. There is a superspace with 6 twisted fermionic directions, with solvable constraints.The N=1 , d=10 super Yang–Mills action is constructed in a twisted form, using SU(5) invariant decomposition of spinors in 10 dimensions. The action and its off-shell closed twisted scalar supersymmetry operator Q is derived from a Chern–Simons term. The action can be decomposed as the sum of a term in the cohomology of Q and of a term that is Q -exact. The first term is a fermionic Chern–Simons term for a twisted component of the Majorana–Weyl gluino and it is related to the second one by a twisted vector supersymmetry with 5 parameters. The cohomology of Q and some topological observables are defined from descent equations. In this SU(5)⊂SO(10) invariant decomposition, the N=1 , d=10 theory is determined by only 6 supersymmetry generators, as in the twisted N=4 , d=4 theory. There is a superspace with 6 twisted fermionic directions, with solvable constraints.The N=1,d=10 superYang-Mills action is constructed in a twisted form, using SU(5)-invariant decomposition of spinors in 10 dimensions. The action and its off-shell closed twisted scalar supersymmetry operator Q derive from a Chern-Simons term. The action can be decomposed as the sum of a term in the cohomology of Q and of a term that is Q-exact. The first term is a fermionic Chern-Simons term for a twisted component of the Majorana-Weyl gluino and it is related to the second one by a twisted vector supersymmetry with 5 parameters. The cohomology of Q and some topological observables are defined from descent equations. In this SU(5)<SO(10)$ invariant decomposition, the N=1, d=10 theory is determined by only 6 supersymmetry generators, as in the twisted N=4, d=4 theory. There is a superspace with 6 twisted fermionic directions, with solvable constraints.arXiv:1009.3893oai:cds.cern.ch:12934652010-09-21 |
spellingShingle | Particle Physics - Theory Baulieu, Laurent SU(5)-invariant decomposition of ten-dimensional Yang-Mills supersymmetry |
title | SU(5)-invariant decomposition of ten-dimensional Yang-Mills supersymmetry |
title_full | SU(5)-invariant decomposition of ten-dimensional Yang-Mills supersymmetry |
title_fullStr | SU(5)-invariant decomposition of ten-dimensional Yang-Mills supersymmetry |
title_full_unstemmed | SU(5)-invariant decomposition of ten-dimensional Yang-Mills supersymmetry |
title_short | SU(5)-invariant decomposition of ten-dimensional Yang-Mills supersymmetry |
title_sort | su(5)-invariant decomposition of ten-dimensional yang-mills supersymmetry |
topic | Particle Physics - Theory |
url | https://dx.doi.org/10.1016/j.physletb.2010.12.044 http://cds.cern.ch/record/1293465 |
work_keys_str_mv | AT baulieulaurent su5invariantdecompositionoftendimensionalyangmillssupersymmetry |