On Generalized Self-Duality Equations Towards Supersymmetric Quantum Field Theories Of Forms

We classify possible `self-duality' equations for p-form gauge fields in space-time dimension up to D=16, generalizing the pioneering work of Corrigan et al. (1982) on Yang-Mills fields (p=1) for D from 5 to 8. We impose two crucial requirements. First, there should exist a 2(p+1)-form T invari...

Descripción completa

Detalles Bibliográficos
Autores principales: Baulieu, Laurent, Laroche, Celine
Lenguaje:eng
Publicado: 1998
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1142/S0217732398001194
http://cds.cern.ch/record/342001
_version_ 1780891530439950336
author Baulieu, Laurent
Laroche, Celine
author_facet Baulieu, Laurent
Laroche, Celine
author_sort Baulieu, Laurent
collection CERN
description We classify possible `self-duality' equations for p-form gauge fields in space-time dimension up to D=16, generalizing the pioneering work of Corrigan et al. (1982) on Yang-Mills fields (p=1) for D from 5 to 8. We impose two crucial requirements. First, there should exist a 2(p+1)-form T invariant under a sub-group H of SO(D). Second, the representation for the SO(D) curvature of the gauge field must decompose under H in a relevant way. When these criteria are fulfilled, the `self-duality' equations can be candidates as gauge functions for SO(D)-covariant and H-invariant topological quantum field theories. Intriguing possibilities occur for dimensions greater than 9, for various p-form gauge fields.
id cern-342001
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1998
record_format invenio
spelling cern-3420012023-03-14T17:13:53Zdoi:10.1142/S0217732398001194http://cds.cern.ch/record/342001engBaulieu, LaurentLaroche, CelineOn Generalized Self-Duality Equations Towards Supersymmetric Quantum Field Theories Of FormsParticle Physics - TheoryWe classify possible `self-duality' equations for p-form gauge fields in space-time dimension up to D=16, generalizing the pioneering work of Corrigan et al. (1982) on Yang-Mills fields (p=1) for D from 5 to 8. We impose two crucial requirements. First, there should exist a 2(p+1)-form T invariant under a sub-group H of SO(D). Second, the representation for the SO(D) curvature of the gauge field must decompose under H in a relevant way. When these criteria are fulfilled, the `self-duality' equations can be candidates as gauge functions for SO(D)-covariant and H-invariant topological quantum field theories. Intriguing possibilities occur for dimensions greater than 9, for various p-form gauge fields.We classify possible `self-duality' equations for p-form gauge fields in space-time dimension up to D=16, generalizing the pioneering work of Corrigan et al. (1982) on Yang-Mills fields (p=1) for D from 5 to 8. We impose two crucial requirements. First, there should exist a 2(p+1)-form T invariant under a sub-group H of SO(D). Second, the representation for the SO(D) curvature of the gauge field must decompose under H in a relevant way. When these criteria are fulfilled, the `self-duality' equations can be candidates as gauge functions for SO(D)-covariant and H-invariant topological quantum field theories. Intriguing possibilities occur for dimensions greater than 9, for various p-form gauge fields.hep-th/9801014PAR-LPTHE-98-01CERN-TH-98-04PAR-LPTHE-98-01CERN-TH-98-004oai:cds.cern.ch:3420011998-01-06
spellingShingle Particle Physics - Theory
Baulieu, Laurent
Laroche, Celine
On Generalized Self-Duality Equations Towards Supersymmetric Quantum Field Theories Of Forms
title On Generalized Self-Duality Equations Towards Supersymmetric Quantum Field Theories Of Forms
title_full On Generalized Self-Duality Equations Towards Supersymmetric Quantum Field Theories Of Forms
title_fullStr On Generalized Self-Duality Equations Towards Supersymmetric Quantum Field Theories Of Forms
title_full_unstemmed On Generalized Self-Duality Equations Towards Supersymmetric Quantum Field Theories Of Forms
title_short On Generalized Self-Duality Equations Towards Supersymmetric Quantum Field Theories Of Forms
title_sort on generalized self-duality equations towards supersymmetric quantum field theories of forms
topic Particle Physics - Theory
url https://dx.doi.org/10.1142/S0217732398001194
http://cds.cern.ch/record/342001
work_keys_str_mv AT baulieulaurent ongeneralizedselfdualityequationstowardssupersymmetricquantumfieldtheoriesofforms
AT larocheceline ongeneralizedselfdualityequationstowardssupersymmetricquantumfieldtheoriesofforms

Ejemplares similares