Celebratio Mathematica — Singer — Complete Bibliography

Complete Bibliography

Works connected to Y. M. Cho

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L. Baulieu, H. Kanno, and I. M. Singer: “Cohomological Yang–Mills theory in eight dimensions,” pp. 365–373 in Dualities in gauge and string theories (Seoul and Sokcho, S. Korea, 17–28 February 1997). Edited by Y. M. Cho and S. Nam. World Scientific (River Edge, NJ), 1998. MR 1712267 Zbl 1052.53508 incollection

We construct nearly topological Yang–Mills theories on eight dimensional manifolds with a special holonomy group. These manifolds are the Joyce manifold with \( \operatorname{Spin}(7) \) holonomy and the Calabi–Yau manifold with \( \operatorname{SU}(4) \) holonomy. An invariant closed four form \( T_{\mu\nu\rho\sigma} \) 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.

Laurent Baulieu	Related
Hiroaki Kanno	Related
Y. M. Cho	Related
Soonkeon Nam	Related