Quantum L Algebras and the Homological Perturbation Lemma

Abstrakt

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.

Klíčová slova

• Quantum
• Algebras
• Homological
• Perturbation
• Lemma