Algebraic Characterization of Vector Supersymmetry in Topological Field Theories
L.C.Q.Vilar, O. S. Ventura, C.A.G. Sasaki, S.P. Sorella
TL;DR
This paper provides an algebraic cohomological framework to characterize linearly broken Ward identities in topological field theories, focusing on vector supersymmetry and ghost equations, linking them to BRST cohomology.
Contribution
It introduces a novel algebraic cohomological approach to analyze linearly broken Ward identities in topological field theories, connecting them to BRST cohomology structures.
Findings
Linearly broken Ward identities are related to BRST exact antifield dependent cocycles with negative ghost number.
The framework applies to topological vector supersymmetry and Landau ghost equations.
Provides detailed algebraic characterization of these identities in topological field theories.
Abstract
An algebraic cohomological characterization of a class of linearly broken Ward identities is provided. The examples of the topological vector supersymmetry and of the Landau ghost equation are discussed in detail. The existence of such a linearly broken Ward identities turns out to be related to BRST exact antifield dependent cocycles with negative ghost number.
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