# Open string amplitudes and large order behavior in topological string theory

@article{Mario2008OpenSA, title={Open string amplitudes and large order behavior in topological string theory}, author={Marcos Mari{\~n}o}, journal={Journal of High Energy Physics}, year={2008}, volume={2008}, pages={060-060} }

We propose a formalism inspired by matrix models to compute open and closed topological string amplitudes in the B-model on toric Calabi-Yau manifolds. We find closed expressions for various open string amplitudes beyond the disk, and in particular we write down the annulus amplitude in terms of theta functions on a Riemann surface. We test these ideas on local curves and local surfaces, providing in this way generating functionals for open Gromov-Witten invariants in the spirit of mirror…

## 197 Citations

Open Topological Strings and Integrable Hierarchies: Remodeling the A-Model

- Mathematics
- 2011

We set up, purely in A-model terms, a novel formalism for the global solution of the open and closed topological A-model on toric Calabi-Yau threefolds. The starting point is to build on recent…

Topological Strings on Local Curves

- Physics
- 2009

We review some perturbative and nonperturbative aspects of topological string theory on the Calabi–Yau manifolds X p =O(−p)⊕ O(p−2)→ℙ1. These are exactly solvable models of topological string theory…

Localization with a Surface Operator, Irregular Conformal Blocks and Open Topological String

- Mathematics, Physics
- 2010

Following a recent paper by Alday and Tachikawa, we compute the instanton partition function in the presence of the surface operator by the localization formula on the moduli space. For SU(2)…

Background independence and the open topological string wavefunction

- Mathematics
- 2007

The open topological string partition function in the background of a D-brane on a Calabi-Yau threefold specifies a state in the Hilbert space associated with the quantization of the underlying…

Evidence for Tadpole Cancellation in the Topological String

- Mathematics
- 2007

We study the topological string on compact Calabi-Yau threefolds in the presence of orientifolds and D-branes. In examples, we find that the total topological string amplitude admits a BPS expansion…

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- Mathematics
- 2016

Mirror curves to toric Calabi–Yau threefolds can be quantized and lead to trace class operators on the real line. The eigenvalues of these operators are encoded in the BPS invariants of the…

Supersymmetric Gauge Theories, Intersecting Branes and Free Fermions

- Mathematics, Physics
- 2007

We show that various holomorphic quantities in supersymmetric gauge theories can be conveniently computed by configurations of D4-branes and D6-branes. These D-branes intersect along a Riemann…

The Topological Open String Wavefunction

- Mathematics
- 2013

We show that, in local Calabi–Yau manifolds, the topological open string partition function transforms as a wavefunction under modular transformations. Our derivation is based on the topological…

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- Mathematics
- 2009

We study five-dimensional black holes obtained by compactifying M theory on Calabi-Yau threefolds. Recent progress in solving topological string theory on compact, one-parameter models allows us to…

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