Closed/open string diagrammatics
arXiv:math/0603485 · doi:10.1016/j.nuclphysb.2006.03.036
Abstract
We introduce a combinatorial model based on measured foliations in surfaces which captures the phenomenology of open/closed string interactions. The predicted equations are derived in this model, and new equations can be discovered as well. In particular, several new equations together with known transformations generate the combinatorial version of open/closed duality. On the topological and chain levels, the algebraic structure discovered is new, but it specializes to a modular bi-operad on the level of homology.
61 pages, 21 figures. Final version, to appear in Nucl Phys B
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Cited by in corpus (13)
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- Cardy algebras and sewing constraints, II
- Probing mapping class groups using arcs
- Teichmüller Theory of Bordered Surfaces
- Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions
- Quasi BPS Wilson loops, localization of loop equation by homology and exact beta function in the large N limit of SU(N) Yang-Mills theory
- Orbifold Riemann surfaces and geodesic algebras
- Comparing fat graph models of moduli space
- Noncommutative aspects of open/closed strings via foliations
- Diagonal complexes
- A 2-categorical extension of the Reshetikhin-Turaev theory
- Open-closed modular operads, Cardy condition and string field theory
- On the decategorification of some higher actions in Heegaard Floer homology