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arXiv · 2202.08750

The Strong Homotopy Structure of BRST Reduction

Chiara Esposito·Andreas Kraft·Jonas Schnitzer
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Abstract

In this paper we propose a reduction scheme for polydifferential operators phrased in terms of $L_\infty$-morphisms. The desired reduction $L_\infty$-morphism has been obtained by applying an explicit version of the homotopy transfer theorem. Finally, we prove that the reduced star product induced by this reduction $L_\infty$-morphism and the reduced star product obtained via the formal Koszul complex are equivalent.

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BibTeXRIS

Chiara Esposito, Andreas Kraft, Jonas Schnitzer. 2022-02-17. The Strong Homotopy Structure of BRST Reduction. https://doi.org/10.2140/pjm.2023.325.47

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