Minimizing gauge-functional for 2-d gravity and string theory

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We display the construction of a twisted superalgebra for the N=1 Euclidian supergravity on 4-manifolds with an almost complex structure. It acts on a representation of twisted supersymmetry made of forms with odd and even statistics and it is covariant under a SU(2)\subset SO(4) Lorentz invariance...

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Autores principales: Baulieu, Laurent, Bellon, Marc, Reys, Valentin
Lenguaje:eng
Publicado: 2012
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/j.nuclphysb.2012.10.007
http://cds.cern.ch/record/1462922
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author Baulieu, Laurent
Bellon, Marc
Reys, Valentin
author_facet Baulieu, Laurent
Bellon, Marc
Reys, Valentin
author_sort Baulieu, Laurent
collection CERN
description We display the construction of a twisted superalgebra for the N=1 Euclidian supergravity on 4-manifolds with an almost complex structure. It acts on a representation of twisted supersymmetry made of forms with odd and even statistics and it is covariant under a SU(2)\subset SO(4) Lorentz invariance of the manifold's tangent-space. It contains 4 twisted supersymmetry generators, one nilpotent scalar, one vector and one pseudo-scalar. The superalgebra closes on the twisted fields of supergravity in its new minimal set of auxiliary fields. Its couplings to the twisted Wess and Zumino and vector multiplets are also determined.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2012
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spelling cern-14629222023-03-15T19:12:42Zdoi:10.1016/j.nuclphysb.2012.10.007http://cds.cern.ch/record/1462922engBaulieu, LaurentBellon, MarcReys, ValentinMinimizing gauge-functional for 2-d gravity and string theoryParticle Physics - TheoryWe display the construction of a twisted superalgebra for the N=1 Euclidian supergravity on 4-manifolds with an almost complex structure. It acts on a representation of twisted supersymmetry made of forms with odd and even statistics and it is covariant under a SU(2)\subset SO(4) Lorentz invariance of the manifold's tangent-space. It contains 4 twisted supersymmetry generators, one nilpotent scalar, one vector and one pseudo-scalar. The superalgebra closes on the twisted fields of supergravity in its new minimal set of auxiliary fields. Its couplings to the twisted Wess and Zumino and vector multiplets are also determined.We display the construction of a twisted superalgebra for the N=1 Euclidean supergravity on 4-manifolds with an almost complex structure. It acts on a representation of twisted supersymmetry made of forms with odd and even statistics and it is covariant under a U(2)⊂SO(4) Lorentz invariance of the manifoldʼs tangent-space. It contains 4 twisted supersymmetry generators, one nilpotent scalar, one vector and one pseudo-scalar. The superalgebra closes on the twisted fields of supergravity in its new minimal set of auxiliary fields. Its couplings to the twisted Wess and Zumino and vector multiplets are also determined.We display the construction of a twisted superalgebra for the N=1 Euclidian supergravity on 4-manifolds with an almost complex structure. It acts on a representation of twisted supersymmetry made of forms with odd and even statistics and it is covariant under a SU(2)\subset SO(4) Lorentz invariance of the manifold's tangent-space. It contains 4 twisted supersymmetry generators, one nilpotent scalar, one vector and one pseudo-scalar. The superalgebra closes on the twisted fields of supergravity in its new minimal set of auxiliary fields. Its couplings to the twisted Wess and Zumino and vector multiplets are also determined.arXiv:1207.4399oai:cds.cern.ch:14629222012-07-19
spellingShingle Particle Physics - Theory
Baulieu, Laurent
Bellon, Marc
Reys, Valentin
Minimizing gauge-functional for 2-d gravity and string theory
title Minimizing gauge-functional for 2-d gravity and string theory
title_full Minimizing gauge-functional for 2-d gravity and string theory
title_fullStr Minimizing gauge-functional for 2-d gravity and string theory
title_full_unstemmed Minimizing gauge-functional for 2-d gravity and string theory
title_short Minimizing gauge-functional for 2-d gravity and string theory
title_sort minimizing gauge-functional for 2-d gravity and string theory
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/j.nuclphysb.2012.10.007
http://cds.cern.ch/record/1462922
work_keys_str_mv AT baulieulaurent minimizinggaugefunctionalfor2dgravityandstringtheory
AT bellonmarc minimizinggaugefunctionalfor2dgravityandstringtheory
AT reysvalentin minimizinggaugefunctionalfor2dgravityandstringtheory

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