Background Independence and the Open Topological String Wavefunction

Details Background Independence and the Open Topological String Wavefunction Background Independence and the Open Topological String Wavefunction

2007-09-14

arxiv.org/abs/0709.2390v1

Physics

High Energy Physics

High Energy Physics - Theory

27 pages

Scientific paper

The open topological string partition function in the background of a D-brane on a Calabi-Yau threefold specifies a state in the Hilbert space associated with the quantization of the underlying special geometry. This statement is a consequence of the extended holomorphic anomaly equation after an appropriate shift of the closed string variables, and can be viewed as the expression of background independence for the open-closed topological string. We also clarify various other aspects of the structure of the extended holomorphic anomaly equation. We conjecture that the collection of all D-branes furnishes a basis of the Hilbert space, and revisit the BPS interpretation of the open topological string wavefunction in this light.

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