Topological Open Strings on Orbifolds

  title={Topological Open Strings on Orbifolds},
  author={Vincent Bouchard and Albrecht Klemm and Marcos Mari{\~n}o and Sara Pasquetti},
  journal={Communications in Mathematical Physics},
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 $${{\mathbb C}^3/{\mathbb Z}_3}$$ orbifold point of local $${{\mathbb P}^2}$$, where we present results for topological string amplitudes for… 
Open orbifold Gromov-Witten invariants of $${[\mathbb{C}^3/\mathbb{Z}_n]}$$: localization and mirror symmetry
We develop a mathematical framework for the computation of open orbifold Gromov-Witten invariants of $${[\mathbb{C}^3/\mathbb{Z}_n]}$$ and provide extensive checks with predictions from open string
Open Topological Strings and Integrable Hierarchies: Remodeling the A-Model
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 string amplitudes for the local $\frac{1}{2}$K3 surface
We study topological string amplitudes for the local half K3 surface. We develop a method of computing higher-genus amplitudes along the lines of the direct integration formalism, making full use of
Equivariant Gromov-Witten Theory of GKM Orbifolds
In this paper, we study the all genus Gromov-Witten theory for any GKM orbifold $X$. We generalize the Givental formula which is studied in the smooth case in \cite{Giv2} \cite{Giv3} \cite{Giv4} to
Localization with a Surface Operator, Irregular Conformal Blocks and Open Topological String
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)
A& B model approaches to surface operators and Toda thoeries
It has recently been argued [1] that the inclusion of surface operators in 4d$ \mathcal{N} = 2 $ SU(2) quiver gauge theories should correspond to insertions of certain degenerate operators in the
Deformed planar topological open string amplitudes on Seiberg-Witten curve
A bstractWe study refined B-model via the beta ensemble of matrix models. Especially, for four dimensional $ \mathcal{N} = 2 $ SU(2) supersymmetric gauge theories with Nf = 0,1 and 2 fundamental
Crepant resolutions and open strings
Abstract In the present paper, we formulate a Crepant Resolution Correspondence for open Gromov–Witten invariants (OCRC) of toric Lagrangian branes inside Calabi–Yau 3-orbifolds by encoding the open
On the remodeling conjecture for toric Calabi-Yau 3-orbifolds
The Remodeling Conjecture proposed by Bouchard-Klemm-Mariño-Pasquetti (BKMP) relates the A-model open and closed topological string amplitudes (the all genus open and closed Gromov-Witten invariants)


Exact Results for Topological Strings on Resolved Y p,q Singularities
We obtain exact results in α′ for open and closed A-model topological string amplitudes on a large class of toric Calabi-Yau threefolds by using their correspondence with five dimensional gauge
Topological Strings and (Almost) Modular Forms
The B-model topological string theory on a Calabi-Yau threefold X has a symmetry group Γ, generated by monodromies of the periods of X. This acts on the topological string wave function in a natural
Remodeling the B-Model
We propose a complete, new formalism to compute unambiguously B-model open and closed amplitudes in local Calabi–Yau geometries, including the mirrors of toric manifolds. The formalism is based on
Open string amplitudes and large order behavior in topological string theory
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
Topological Strings and Integrable Hierarchies
We consider the topological B-model on local Calabi-Yau geometries. We show how one can solve for the amplitudes by using -algebra symmetries which encode the symmetries of holomorphic
Topological String Theory on Compact Calabi–Yau: Modularity and Boundary Conditions
The topological string partition function Z(λ,t,t) =exp(λ2 g-2 Fg(t, t)) is calculated on a compact Calabi–Yau M. The Fg(t, t) fulfil the holomorphic anomaly equations, which imply that ψ=Z
Direct integration of the topological string
We present a new method to solve the holomorphic anomaly equations governing the free energies of type B topological strings. The method is based on direct integration with respect to the
Extended holomorphic anomaly and loop amplitudes in open topological string
Large N gauge theories and topological cigars
We analyze the conjectured duality between a class of double-scaling limits of a one-matrix model and the topological twist of non-critical superstring backgrounds that contain the N = 2
Disk Instantons, Mirror Symmetry and the Duality Web
We apply the methods recently developed for computation of type IIA disk instantons using mirror symmetry to a large class of D-branes wrapped over Lagrangian cycles of non-compact Calabi-Yau