Comments on the Holomorphic Anomaly in Open Topological String Theory

Abstract

We show that a general solution to the extended holomorphic anomaly equations for the open topological string on D-branes in a Calabi-Yau manifold, recently written down by Walcher in arXiv:0705.4098, is obtained from the general solution to the holomorphic anomaly equations for the closed topological string on the same manifold, by shifting the closed string moduli by amounts proportional to the 't Hooft coupling.

3 pages

References in corpus (3)

• Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
• Topological String Partition Functions as Polynomials
• Extended Holomorphic Anomaly and Loop Amplitudes in Open Topological String

Cited by in corpus (9)

• Polynomial Structure of the (Open) Topological String Partition Function
• Evidence for Tadpole Cancellation in the Topological String
• On solutions to Walcher's extended holomorphic anomaly equation
• Summing planar diagrams
• The holomorphic anomaly for open string moduli
• Holomorphic Chern-Simons theory coupled to off-shell Kodaira-Spencer gravity
• Taming open/closed string duality with a Losev trick
• Open Mirror Symmetry for Higher Dimensional Calabi-Yau Hypersurfaces
• Topics in Open Topological Strings