Instantons and Donaldson-Thomas Invariants

dc.creatorCirafici, Michele
dc.creatorSinkovics, Annamaria
dc.creatorSzabo, Richard J.
dc.date2008-04-07
dc.date.accessioned2026-07-07T11:49:39Z
dc.date.available2026-07-07T11:49:39Z
dc.descriptionWe review some recent progress in understanding the relation between a six dimensional topological Yang-Mills theory and the enumerative geometry of Calabi-Yau threefolds. The gauge theory localizes on generalized instanton solutions and is conjecturally equivalent to Donaldson-Thomas theory. We evaluate the partition function of the U(N) theory in its Coulomb branch on flat space by employing equivariant localization techniques on its noncommutative deformation. Geometrically this corresponds to a higher dimensional generalization of the ADHM formalism. This formalism can be extended to a generic toric Calabi-Yau.
dc.description7 pages, To appear in the proceedings of the RTN workshop "ForcesUniverse", Valencia, October 1-5 2007
dc.identifierhttps://arxiv.org/abs/0804.1087
dc.identifierhttp://arxiv.org/abs/0804.1087
dc.identifierFortsch.Phys.56:849-855,2008
dc.identifierdoi:10.1002/prop.200810544
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203310
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.titleInstantons and Donaldson-Thomas Invariants
dc.typetext

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