Topological open strings on orbifolds

Details Topological open strings on orbifolds Topological open strings on orbifolds

2008-07-03

arxiv.org/abs/0807.0597v1

Commun.Math.Phys.296:589-623,2010

Physics

High Energy Physics

High Energy Physics - Theory

38 pages

Scientific paper

10.1007/s00220-010-1020-0

We use the remodeling approach to the B-model topological string in terms of recursion relations to study open string amplitudes at orbifold points. To this end, we clarify modular properties of the open amplitudes and rewrite them in a form that makes their transformation properties under the modular group manifest. We exemplify this procedure for the C^3/Z_3 orbifold point of local P^2, where we present results for topological string amplitudes for genus zero and up to three holes, and for the one-holed torus. These amplitudes can be understood as generating functions for either open orbifold Gromov-Witten invariants of C^3/Z_3, or correlation functions in the orbifold CFT involving insertions of both bulk and boundary operators.

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