A Noncommutative Deformation of Topological Field Theory

Details A Noncommutative Deformation of Topological Field Theory A Noncommutative Deformation of Topological Field Theory

2004-02-21

arxiv.org/abs/hep-th/0402169v1

Gen.Rel.Grav. 37 (2005) 723-731

Physics

High Energy Physics

High Energy Physics - Theory

11+1 pages, revtex4, no figures

Scientific paper

10.1007/s10714-005-0058-3

Cohomological Yang-Mills theory is formulated on a noncommutative differentiable four manifold through the $\theta$-deformation of its corresponding BRST algebra. The resulting noncommutative field theory is a natural setting to define the $\theta$-deformation of Donaldson invariants and they are interpreted as a mapping between the Chevalley-Eilenberg homology of noncommutative spacetime and the Chevalley-Eilenberg cohomology of noncommutative moduli of instantons. In the process we find that in the weak coupling limit the quantum theory is localized at the moduli space of noncommutative instantons.

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