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arXiv 2301.03602hep-th
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D-瞬子、阈值修正与拓扑弦

D-instanton, threshold corrections, and topological string

Manki Kim

AI总结:

本文证明非微扰超势的单圈 pfaffian 可由新超对称指标的模空间积分确定,从而可通过拓扑弦等方法直接计算,并讨论了其与阈值修正及开拓扑弦单圈配分函数的关系。

摘要:

在本文中,我们证明:在卡拉比-丘三流形 orientifold 上的 II 型紧致化中,由欧几里得 D-膜产生的非微扰超势的单圈 pfaffian 由 Cecotti、Fendley、Intriligator 和 Vafa 所定义的新超对称指标的模空间积分决定。由于该量可以通过拓扑弦理论、Chern-Simons 理论、矩阵模型或求解全纯异常方程来计算,这一结果为直接计算非微扰超势的单圈 pfaffian 提供了方法。文中还讨论了单圈 pfaffian、规范耦合的阈值修正与开拓扑弦理论单圈配分函数之间的关系。

英文摘要:

In this note, we prove that the one-loop pfaffian of the non-perturbative superpotential generated by Euclidean D-branes in type II compactifications on orientifolds of Calabi-Yau threefolds is determined by the moduli integral of the new supersymmetric index defined by Cecotti, Fendley, Intriligator, and Vafa. As this quantity can be computed via topological string theory, Chern-Simons theory, matrix models, or by solving the holomorphic anomaly equation, this result provides a method to directly compute the one-loop pfaffian of the non-perturbative superpotential. The relation between the one-loop pfaffian, threshold corrections to the gauge coupling, and the one-loop partition function of open topological string theory is discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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