Topological vector symmetry, topological gauge fixing of BRSTQFT and construction of maximal supersymmetry

dc.contributor.areaMathematicsen_US
dc.contributor.authorBaulieu, Laurenten_US
dc.contributor.authorBossard, Guillaumeen_US
dc.contributor.authorTanzini, Alessandroen_US
dc.contributor.departmentMathematical Physicsen_US
dc.date.accessioned2005en_US
dc.date.accessioned2011-09-07T20:27:41Z
dc.date.available2005en_US
dc.date.available2011-09-07T20:27:41Z
dc.date.issued2005en_US
dc.description.abstractThe scalar and vector topological Yang-Mills symmetries determine a closed and consistent sector of Yang-Mills supersymmetry. We provide a geometrical construction of these symmetries, based on a horizontality condition on reducible manifolds. This yields globally well-defined scalar and vector topological BRST operators. These operators generate a subalgebra of maximally supersymmetric Yang-Mills theory, which is small enough to be closed off-shell with a finite set of auxiliary fields and large enough to determine the Yang-Mills supersymmetric theory. Poincaré supersymmetry is reached in the limit of flat manifolds. The arbitrariness of the gauge functions in BRSTQFTs is thus removed by the requirement of scalar and vector topological symmetry, which also determines the complete supersymmetry transformations in a twisted way. Provided additional Killing vectors exist on the manifold, an equivariant extension of our geometrical framework is provided, and the resulting "equivariant topological field theory" corresponds to the twist of super Yang-Mills theory on omega backgrounds.en_US
dc.format.extent434040 bytesen_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationJHEP 0508 (2005) 037en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/1741en_US
dc.language.isoen_USen_US
dc.relation.ispartofseriesSISSA;24/2005/FMen_US
dc.relation.ispartofseriesarXiv.org;hep-th/0504224en_US
dc.relation.uri10.1088/1126-6708/2005/08/037en_US
dc.titleTopological vector symmetry, topological gauge fixing of BRSTQFT and construction of maximal supersymmetryen_US
dc.typePreprinten_US
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