Closed/open string diagrammatics
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 bioperad on the level of homology.
 Publication:

Nuclear Physics B
 Pub Date:
 August 2006
 DOI:
 10.1016/j.nuclphysb.2006.03.036
 arXiv:
 arXiv:math/0603485
 Bibcode:
 2006NuPhB.748..335K
 Keywords:

 Mathematics  Geometric Topology;
 Mathematics  Algebraic Geometry;
 Mathematics  Algebraic Topology;
 High Energy Physics  Theory
 EPrint:
 61 pages, 21 figures. Final version, to appear in Nucl Phys B