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

doi:10.7523/j.issn.2095-6134.2019.05.003

中国科学院大学学报 ›› 2019, Vol. 36 ›› Issue (5): 590-597.DOI: 10.7523/j.issn.2095-6134.2019.05.003

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

蒋笑添, 杨富中

中国科学院大学物理科学学院, 北京 100049

收稿日期:2018-04-17 修回日期:2018-05-09 发布日期:2019-09-15
通讯作者: 杨富中
基金资助:
国家自然科学基金（11475178，Y4JT01VJ01）资助

Parallel/coincident D-brane superpotentials, Ooguri-Vafa invariants, and Type II/F theory duality

JIANG Xiaotian, YANG Fuzhong

School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

Received:2018-04-17 Revised:2018-05-09 Published:2019-09-15

摘要/Abstract

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。

关键词: 类型II弦理论/F理论对偶, 相变, 超势, Ooguri-Vafa不变量

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.

Key words: Type II/F-theory duality, phase transition, superpotential, Ooguri-Vafa invariants

中图分类号:

蒋笑添, 杨富中. 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[J]. 中国科学院大学学报, 2019, 36(5): 590-597.

JIANG Xiaotian, YANG Fuzhong. Parallel/coincident D-brane superpotentials, Ooguri-Vafa invariants, and Type II/F theory duality[J]. , 2019, 36(5): 590-597.

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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

Parallel/coincident D-brane superpotentials, Ooguri-Vafa invariants, and Type II/F theory duality

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