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Supersymmetry and loop space geometry

We present a conceptually new interpretation of Poincaré supersymmetric theories in terms of loop space symplectic geometry. We argue, that the fermionic part of a supersymmetric action can be viewed as a (pre) symplectic two form in the loop space of bosonic fields, and the bosonic part of the acti...

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Detalles Bibliográficos
Autores principales: Morozov, A Yu, Niemi, Antti J, Palo, K
Lenguaje:eng
Publicado: 1991
Materias:
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(91)90102-V
http://cds.cern.ch/record/225963
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author Morozov, A Yu
Niemi, Antti J
Palo, K
author_facet Morozov, A Yu
Niemi, Antti J
Palo, K
author_sort Morozov, A Yu
collection CERN
description We present a conceptually new interpretation of Poincaré supersymmetric theories in terms of loop space symplectic geometry. We argue, that the fermionic part of a supersymmetric action can be viewed as a (pre) symplectic two form in the loop space of bosonic fields, and the bosonic part of the action can be constructed by contracting the pertinent loop space symplectic potential with a model independent vector field. Our approach entails a novel auxiliary field formalism. It also opens a new point of view to a large class of problems, including the mechanism of supersymmetry breaking, structure of topological field theories and even aspects of quantum integrability.
id cern-225963
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1991
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spelling cern-2259632019-09-30T06:29:59Zdoi:10.1016/0370-2693(91)90102-Vhttp://cds.cern.ch/record/225963engMorozov, A YuNiemi, Antti JPalo, KSupersymmetry and loop space geometryParticle Physics - TheoryWe present a conceptually new interpretation of Poincaré supersymmetric theories in terms of loop space symplectic geometry. We argue, that the fermionic part of a supersymmetric action can be viewed as a (pre) symplectic two form in the loop space of bosonic fields, and the bosonic part of the action can be constructed by contracting the pertinent loop space symplectic potential with a model independent vector field. Our approach entails a novel auxiliary field formalism. It also opens a new point of view to a large class of problems, including the mechanism of supersymmetry breaking, structure of topological field theories and even aspects of quantum integrability.HU-TFT-91-41ITEP-M-91-7oai:cds.cern.ch:2259631991-09-05
spellingShingle Particle Physics - Theory
Morozov, A Yu
Niemi, Antti J
Palo, K
Supersymmetry and loop space geometry
title Supersymmetry and loop space geometry
title_full Supersymmetry and loop space geometry
title_fullStr Supersymmetry and loop space geometry
title_full_unstemmed Supersymmetry and loop space geometry
title_short Supersymmetry and loop space geometry
title_sort supersymmetry and loop space geometry
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/0370-2693(91)90102-V
http://cds.cern.ch/record/225963
work_keys_str_mv AT morozovayu supersymmetryandloopspacegeometry
AT niemianttij supersymmetryandloopspacegeometry
AT palok supersymmetryandloopspacegeometry