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A Noncommutative Deformation of Topological Field Theory

Hugo Garcia-Compean·Pablo Paniagua
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Abstract

Cohomological Yang-Mills theory is formulated on a noncommutative differentiable four manifold through the $θ$-deformation of its corresponding BRST algebra. The resulting noncommutative field theory is a natural setting to define the $θ$-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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Hugo Garcia-Compean, Pablo Paniagua. 2004-02-21. A Noncommutative Deformation of Topological Field Theory. https://doi.org/10.1007/s10714-005-0058-3

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