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 language | English (US) |
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Pages (from-to) | 1-25 |
Number of pages | 25 |
Journal | Communications in Mathematical Physics |
Volume | 171 |
Issue number | 1 |
DOIs | |
State | Published - Jul 1995 |