Topological field theories, string backgrounds and homotopy algebras

Details Topological field theories, string backgrounds and homotopy algebras Topological field theories, string backgrounds and homotopy algebras

1994-01-06

arxiv.org/abs/hep-th/9401023v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

String backgrounds are described as purely geometric objects related to moduli spaces of Riemann surfaces, in the spirit of Segal's definition of a conformal field theory. Relations with conformal field theory, topological field theory and topological gravity are studied. For each field theory, an algebraic counterpart, the (homotopy) algebra satisfied by the tree level correlators, is constructed.

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