Cargando…
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...
Autores principales: | , , |
---|---|
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 |
_version_ | 1780883681673478144 |
---|---|
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 |
record_format | invenio |
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 |