Abstract

We study the quantization of a holomorphic two—form coupled to a Yang—Mills field on special manifolds in various dimensions, and we show that it yields twisted supersymmetric theories. For Kahler manifolds in four dimensions, our topological model is related to \( \mathcal{N}\) = 1 Super Yang—Mills theory. Extended supersymmetries are recovered by considering the coupling with chiral multiplets.

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