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arXiv 0709.2390hep-th
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背景独立性与开拓扑弦波函数

Background Independence and the Open Topological String Wavefunction

Andrew Neitzke, Johannes Walcher

摘要:

开拓扑弦配分函数在卡-丘三重D-膜的背景中指定了希尔伯特空间中与底层特殊几何的量子化相关的状态。这一陈述是对闭弦变量作适当移动后的推广全纯反常方程的一个推论,可以看作开-闭拓扑弦的背景独立性的表达。我们还澄清了各种其他方面的结构的扩展全纯异常方程。我们猜想所有D-膜的集合是希尔伯特空间的一个基,并从这个角度重新审视开拓扑弦波函数的BPS解释。

英文摘要:

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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