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Introduction to sh Lie algebras for physicists

Tom Lada·Jim Stasheff
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Abstract

Closed string field theory leads to a generalization of Lie algebra which arose naturally within mathematics in the study of deformations of algebraic structures. It also appeared in work on higher spin particles \cite{BBvD}. Representation theoretic analogs arose in the mathematical analysis of the Batalin-Fradkin-Vilkovisky approach to constrained Hamiltonians. A major goal of this paper is to see the relevant formulas, especially in closed string field theory, as a generalization of those for a differential graded Lie algebra, hopefully describing the mathematical essentials in terms accessible to {\it physicists}.

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Tom Lada, Jim Stasheff. 1992-09-24. Introduction to sh Lie algebras for physicists. https://doi.org/10.1007/bf00671791

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