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arXiv · hep-th/9705127

Cohomological Yang-Mills Theory in Eight Dimensions

L. Baulieu·H. Kanno·I. M. Singer
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Abstract

We construct nearly topological Yang-Mills theories on eight dimensional manifolds with a special holonomy group. These manifolds are the Joyce manifold with $Spin(7)$ holonomy and the Calabi-Yau manifold with SU(4) holonomy. An invariant closed four form $T_{μνρσ}$ on the manifold allows us to define an analogue of the instanton equation, which serves as a topological gauge fixing condition in BRST formalism. The model on the Joyce manifold is related to the eight dimensional supersymmetric Yang-Mills theory. Topological dimensional reduction to four dimensions gives non-abelian Seiberg-Witten equation.

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L. Baulieu, H. Kanno, I. M. Singer. 1997-05-17. Cohomological Yang-Mills Theory in Eight Dimensions. https://doi.org/10.1142/9789814447287_0011

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