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Yang-Mills theories in dimensions 3,4,6,10 and Bar-duality

In this note we give a homological explanation of "pure spinors" in YM theories with minimal amount of supersymmetries. We construct A_{\infty} algebras A for every dimension D=3,4,6,10, which for D=10 coincides with homogeneous coordinate ring of pure spi

Yang-Mills theories in dimensions 3,4,6,10 and Bar-duality

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