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Quantum L Algebras and the Homological Perturbation Lemma

Publication at Central Library of Charles University, Faculty of Mathematics and Physics |
2019

Abstract

Quantum L algebras are a generalization of L algebras with a scalar product and with operations corresponding to higher genus graphs. We construct a minimal model of a given quantum L algebra via the homological perturbation lemma and show that it's given by a Feynman diagram expansion, computing the effective action in the finite-dimensional Batalin-Vilkovisky formalism.

We also construct a homotopy between the original and this effective quantum L algebra.