| 平行/重合D膜超势，Ooguri-Vafa不变量与类型II弦理论/F理论对偶 |
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| 作者姓名： | 蒋笑添 杨富中 |
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| 作者单位： | 中国科学院大学物理科学学院, 北京 100049 |
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| 基金项目： | 国家自然科学基金（11475178，Y4JT01VJ01）资助 |
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| 摘 要： | 利用类型Ⅱ弦理论/F理论对偶，第一次在平行和重合相区计算一个具体的双D膜系统的超势，并提取Ooguri-Vafa不变量。平行D膜相与重合D膜相间的相变也对应着D膜世界叶上规范理论规范对称性的提升U（1）×…×U（1）→U（n）。计算显示这两个相区的超势截然不同，并给出不同的Ooguri-Vafa不变量。这意味着相变的发生导致两个相区能谱结构的差异。
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| 关 键 词： | 类型II弦理论/F理论对偶 相变 超势 Ooguri-Vafa不变量 |
| 收稿时间： | 2018-04-17 |
| 修稿时间： | 2018-05-09 |
Parallel/coincident D-brane superpotentials,Ooguri-Vafa invariants,and Type II/F theory duality |
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| Authors: | JIANG Xiaotian YANG Fuzhong |
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| Institution: | School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | The superpotential is very important physical observation in the topological string theory, and it determines the F-term of the low-energy effective theory and the string vacuum structure. Ooguri-Vafa invariants, as the counting number of BPS states, can be extracted from the superpotential, giving rise to the energy spectrum of the D-brane system. We compute the superpotentials and Ooguri-Vafa invariants for complicated D-brane system, namely double D-branes system, in the parallel and coincident phases using the Type Ⅱ/F theory duality for the first time. The coincidence of parallel D-branes leads to the enhancement of gauge symmetry U(1)×…×U(1)→U(n) in terms of gauge theory on the worldvolume of the D-branes being known as the phase transition between the parallel D-brane phase and the coincident D-brane phase. We find the difference between the Ooguri-Vafa invariants for the two phases giving rise to the distinct spectra. It can be viewed as an evidence of the phase transition. |
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| Keywords: | Type II/F-theory duality phase transition superpotential Ooguri-Vafa invariants |
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