Anomaly cancellation in the topological string

Understand

We describe the coupling of holomorphic Chern-Simons theory at large N with Kodaira-Spencer gravity.

• We explain a new anomaly cancellation mechanism at all loops in perturbation theory for open-closed topological B-model.
• At one loop this anomaly cancellation is analogous to the Green-Schwarz mechanism.
• As an application, we introduce a type I version of Kodaira-Spencer theory in complex dimensions 3 and 5.