Homotopy algebra of open-closed strings

Details Homotopy algebra of open-closed strings Homotopy algebra of open-closed strings

2006-06-30

arxiv.org/abs/hep-th/0606283v3

Geom. Topol. Monogr. 13 (2008) 229-259

Physics

High Energy Physics

High Energy Physics - Theory

This is the version published by Geometry & Topology Monographs on 22 February 2008

Scientific paper

10.2140/gtm.2008.13.229

This paper is a survey of our previous works on open-closed homotopy algebras, together with geometrical background, especially in terms of compactifications of configuration spaces (one of Fred's specialities) of Riemann surfaces, structures on loop spaces, etc. We newly present Merkulov's geometric A_infty-structure [Internat. Math. Res. Notices (1999) 153--164, arxiv:math/0001007] as a special example of an OCHA. We also recall the relation of open-closed homotopy algebras to various aspects of deformation theory.

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