N=4 Yang--Mills theory as a complexification of the N=2 theory

A complexification of the twisted $\N=2$ theory allows one to determine the N=4 Yang--Mills theory in its third twist formulation. The imaginary part of the gauge symmetry is used to eliminate two scalars fields and create gauge covariant longitudinal components for the imaginary part of the gauge f...

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Detalles Bibliográficos
Autor principal: Baulieu, Laurent
Lenguaje:eng
Publicado: 2009
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/j.nuclphysbps.2009.07.043
http://cds.cern.ch/record/1181571
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author Baulieu, Laurent
author_facet Baulieu, Laurent
author_sort Baulieu, Laurent
collection CERN
description A complexification of the twisted $\N=2$ theory allows one to determine the N=4 Yang--Mills theory in its third twist formulation. The imaginary part of the gauge symmetry is used to eliminate two scalars fields and create gauge covariant longitudinal components for the imaginary part of the gauge field. The latter becomes the vector field of the thirdly twisted $\N=4$ theory. Eventually, one gets a one to one correspondence between the fields of both theories. Analogous complexifications can be done for topological 2d-gravity and topological sigma models.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2009
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spelling cern-11815712023-03-15T19:11:37Zdoi:10.1016/j.nuclphysbps.2009.07.043http://cds.cern.ch/record/1181571engBaulieu, LaurentN=4 Yang--Mills theory as a complexification of the N=2 theoryParticle Physics - TheoryA complexification of the twisted $\N=2$ theory allows one to determine the N=4 Yang--Mills theory in its third twist formulation. The imaginary part of the gauge symmetry is used to eliminate two scalars fields and create gauge covariant longitudinal components for the imaginary part of the gauge field. The latter becomes the vector field of the thirdly twisted $\N=4$ theory. Eventually, one gets a one to one correspondence between the fields of both theories. Analogous complexifications can be done for topological 2d-gravity and topological sigma models.A complexification of the twisted $\N=2$ theory allows one to determine the N=4 Yang--Mills theory in its third twist formulation. The imaginary part of the gauge symmetry is used to eliminate two scalars fields and create gauge covariant longitudinal components for the imaginary part of the gauge field. The latter becomes the vector field of the thirdly twisted $\N=4$ theory. Eventually, one gets a one to one correspondence between the fields of both theories. Analogous complexifications can be done for topological 2d-gravity and topological sigma models.arXiv:0906.1289CERN-PH-TH-2008-191oai:cds.cern.ch:11815712009-06-09
spellingShingle Particle Physics - Theory
Baulieu, Laurent
N=4 Yang--Mills theory as a complexification of the N=2 theory
title N=4 Yang--Mills theory as a complexification of the N=2 theory
title_full N=4 Yang--Mills theory as a complexification of the N=2 theory
title_fullStr N=4 Yang--Mills theory as a complexification of the N=2 theory
title_full_unstemmed N=4 Yang--Mills theory as a complexification of the N=2 theory
title_short N=4 Yang--Mills theory as a complexification of the N=2 theory
title_sort n=4 yang--mills theory as a complexification of the n=2 theory
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/j.nuclphysbps.2009.07.043
http://cds.cern.ch/record/1181571
work_keys_str_mv AT baulieulaurent n4yangmillstheoryasacomplexificationofthen2theory

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