Background Independence and the Open Topological String Wavefunction
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2007
- DOI:
- 10.48550/arXiv.0709.2390
- arXiv:
- arXiv:0709.2390
- Bibcode:
- 2007arXiv0709.2390N
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 27 pages