2007

Extended Holomorphic Anomaly and Loop Amplitudes in Open Topological String

Walcher, Johannes

Understand

Open topological string amplitudes on compact Calabi-Yau threefolds are shown to satisfy an extension of the holomorphic anomaly equation of Bershadsky, Cecotti, Ooguri and Vafa.

The total topological charge of the D-brane configuration must vanish in order to satisfy tadpole cancellation.
The boundary state of such D-branes is holomorphically captured by a Hodge theoretic normal function.
Its Griffiths' infinitesimal invariant is the analogue of the closed string Yukawa coupling and plays the role of the terminator in a Feynman diagram expansion for the topological string with D-branes.

Built on

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