On operad structures of moduli spaces and string theory

Takashi Kimura, Jim Stasheff, Alexander A. Voronov

Research output: Contribution to journalArticlepeer-review

48 Scopus citations

Abstract

We construct a real compactification of the moduli space of punctured rational algebraic curves and show how its geometry yields operads governing homotopy Lie algebras, gravity algebras and Batalin-Vilkovisky algebras. These algebras appeared recently in the context of string theory, and we give a simple deduction of these algebraic structures from the formal axioms of conformal field theory and string theory.

Original languageEnglish (US)
Pages (from-to)1-25
Number of pages25
JournalCommunications in Mathematical Physics
Volume171
Issue number1
DOIs
StatePublished - Jul 1995

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