# An introduction to the Batalin-Vilkovisky formalism

@article{Fiorenza2004AnIT, title={An introduction to the Batalin-Vilkovisky formalism}, author={Domenico Fiorenza}, journal={arXiv: Quantum Algebra}, year={2004} }

The aim of these notes is to introduce the quantum master equation $\{S,S\}-2i\hbar\Delta S=0$, and to show its relations to the theory of Lie algebras representations and to perturbative expansions of Gaussian integrals. The relations of the classical master equation $\{S,S\}=0$ with the BRST formalisms are also described. Being an introduction, only finite-dimensional examples will be considered.

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In Batalin–Vilkovisky formalism, a classical mechanical system is specified by means of a solution to the classical master equation. Geometrically, such a solution can be considered as a QP-manifold,…

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