Equivariant localization in Batalin-Vilkovisky formalism
Alberto S. Cattaneo, Shuhan Jiang
TL;DR
This paper develops equivariant localization formulas within the Batalin-Vilkovisky formalism, enabling new insights and applications in Poisson geometry and quantum field theory.
Contribution
It introduces equivariant localization formulas in the BV formalism, bridging cohomological field theory and Poisson geometry.
Findings
Derived Atiyah-Bott type localization formulas in BV formalism
Applied localization formulas to problems in Poisson geometry
Connected localization techniques to quantum field theory
Abstract
We derive equivariant localization formulas of Atiyah--Bott and cohomological field theory types in the Batalin-Vilkovisky formalism and discuss their applications in Poisson geometry and quantum field theory.
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Taxonomy
TopicsAdvanced Research in Systems and Signal Processing