Topological Open Strings on Orbifolds |
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Authors: | Vincent Bouchard Albrecht Klemm Marcos Mari?o Sara Pasquetti |
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Institution: | 1. Jefferson Physical Laboratory, Harvard University, 17 Oxford St., Cambridge, MA, 02138, USA 2. Physikalisches Institut der Universit?t Bonn, Nu?allee 12, D-53115, Bonn, Germany 3. Département de Physique Théorique et Section de Mathématiques, Université de Genève, CH 1211, Genève 4, Switzerland 4. Institut de Physique, Université de Neuchatel, Rue A. L. Breguet 1, CH-2000, Neuchatel, Switzerland
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Abstract: | 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
\mathbb C3/\mathbb Z3{{\mathbb C}^3/{\mathbb Z}_3} orbifold point of local
\mathbb P2{{\mathbb 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
\mathbb C3/\mathbb Z3{{\mathbb C}^3/{\mathbb Z}_3}, or correlation functions in the orbifold CFT involving insertions of both bulk and boundary operators. |
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