On operad structures of moduli spaces and string theory |
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| Authors: | Takashi Kimura Jim Stasheff Alexander A Voronov |
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| Institution: | (1) Department of Mathematics, University of North Carolina, 27599-3250 Chapel Hill, NC, USA;(2) Department of Mathematics, University of Pennsylvania, 19104-6395 Philadelphia, PA, USA;(3) Department of Mathematics, Princeton University, 08544-1000 Princeton, NJ, USA |
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| 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.To the memory of Ansgar SchnizerResearch supported by an NSF Postdoctoral Research FellowshipResearch supported in part by NSF grant DMS-9206929 and a Research and Study Leave from the University of North Carolina-Chapel HillResearch supported in part by NSF grant DMS-9108269.A03 |
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