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Weil algebra structure and geometrical meaning of BRST transformation in topological quantum field theory

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Zeitschrift für Physik C Particles and Fields

Abstract

The Weil algebra structure of the BRST transformation of topological quantum field theory is investigated. This structure appears in the gauge and ghost fields sector and is common to both topological quantum field theory and BRS gauge fixed non-abelian gauge theory. By the Weil algebra structure, we can derive the descent equations of topological quantum field theory which generate the Donaldson polynomials. The algebraic structure also reveals the geometrical meaning of the ghost fields ψ and ϕ in topological quantum field theory as the components of the total curvature.

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  1. Research Institute for Mathematical Sciences, Kyoto University, 606, Kyoto, Japan

    H. Kanno

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  1. H. Kanno
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Kanno, H. Weil algebra structure and geometrical meaning of BRST transformation in topological quantum field theory. Z. Phys. C - Particles and Fields 43, 477–484 (1989). https://doi.org/10.1007/BF01506544

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