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arXiv · 1703.00082

Minimal models of quantum homotopy Lie algebras via the BV-formalism

Christopher Braun·James Maunder
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Abstract

Using the BV-formalism of mathematical physics an explicit construction for the minimal model of a quantum L-infinity-algebra is given as a formal super integral. The approach taken herein to these formal integrals is axiomatic; they can be approached using perturbation theory to obtain combinatorial formulae as shown in the appendix. Additionally, there exists a canonical differential graded Lie algebra morphism mapping formal functions on homology to formal functions on the whole space. An L-infinity-algebra morphism inverse to this differential graded Lie algebra morphism on the level of homology is constructed as a formal super integral.

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Christopher Braun, James Maunder. 2017-02-28. Minimal models of quantum homotopy Lie algebras via the BV-formalism. https://doi.org/10.1063/1.5022890

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