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

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

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. …