Evidence for Tadpole Cancellation in the Topological String
arXiv:0712.2775
Abstract
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 only if the topological charge of the D-brane is equal to that of the orientifold plane. We interpret this as a manifestation of a general tadpole cancellation condition in the topological string that is necessary for decoupling of A- and B-model in loop amplitudes. Our calculations in the A-model involve an adapted version of existing localization techniques, and give predictions for the real enumerative geometry of higher genus curves in Calabi-Yau manifolds. In the B-model, we introduce an extension of the holomorphic anomaly equation to unoriented strings.
57 pages, 9 figures, v2: minor clarifications
References in corpus (41)
- Consistency Conditions for Orientifolds and D-Manifolds
- Topological Strings and Integrable Hierarchies
- Spacetime Instanton Corrections in 4D String Vacua - The Seesaw Mechanism for D-Brane Models
- D-Branes on Calabi-Yau Spaces and Their Mirrors
- Curve counting via stable pairs in the derived category
- Mirror Symmetry, D-Branes and Counting Holomorphic Discs
- Disk Instantons, Mirror Symmetry and the Duality Web
- Open string amplitudes and large order behavior in topological string theory
- c=1 String as the Topological Theory of the Conifold
- Stringy Instantons and Quiver Gauge Theories
- Quantum Background Independence In String Theory
- Gaugino Condensates and D-terms from D7-branes
- Stable pairs and BPS invariants
- D-branes and Discrete Torsion II
- Topological String Partition Functions as Polynomials
- Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions
- Holomorphic anomaly and matrix models
- Orientifolds of Gepner Models
- Chern-Simons Gauge Theory As A String Theory
- Orientifolds, Mirror Symmetry and Superpotentials
- N=1 Special Geometry, Mixed Hodge Variations and Toric Geometry
- SO and Sp Chern-Simons at Large N
- Local Mirror Symmetry at Higher Genus
- D-branes from Matrix Factorizations
- Holomorphic N=1 Special Geometry of Open--Closed Type II Strings
- Extended Holomorphic Anomaly and Loop Amplitudes in Open Topological String
- The Hitchin functionals and the topological B-model at one loop
- Topological Open String Amplitudes On Orientifolds
- Open string topological amplitudes and gaugino masses
- D-branes and Normal Functions
- BPS Microstates and the Open Topological String Wave Function
- Topological String Theory on Compact Calabi-Yau: Modularity and Boundary Conditions
- Equivariant Topological Sigma Models
- Invariants of algebraic curves and topological expansion
- Summing up Open String Instantons and N=1 String Amplitudes
- Non-perturbative orientifold transitions at the conifold
- The Reduced Genus-One Gromov-Witten Invariants of Calabi-Yau Hypersurfaces
- Orientifolds, Unoriented Instantons and Localization
- Comments on the Holomorphic Anomaly in Open Topological String Theory
- On solutions to Walcher's extended holomorphic anomaly equation
- D-Brane Superpotentials in Calabi-Yau Orientifolds
Cited by in corpus (15)
- Extended Holomorphic Anomaly in Gauge Theory
- Extended Holomorphic Anomaly and Loop Amplitudes in Open Topological String
- Real Mirror Symmetry for One-parameter Hypersurfaces
- Type II/F-theory Superpotentials with Several Deformations and N=1 Mirror Symmetry
- All Genus Open-Closed Mirror Symmetry for Affine Toric Calabi-Yau 3-Orbifolds
- Non-perturbative effects and wall-crossing from topological strings
- Open mirror symmetry for Pfaffian Calabi-Yau 3-folds
- The orientability problem in open Gromov-Witten theory
- The Real Topological Vertex at Work
- A Note on Computations of D-brane Superpotential
- Wall Crossing Phenomenology of Orientifolds
- Matrix Factorizations, Massey Products and F-Terms for Two-Parameter Calabi-Yau Hypersurfaces
- Taming open/closed string duality with a Losev trick
- Orientifolds and D-branes in N=2 gauged linear sigma models
- Open/Closed Topological CP1 Sigma Model Revisited