中国科学院大学学报2021，Vol.38Issue(1)：41-48,8.DOI:10.7523/j.issn.2095-6134.2021.01.006
紧致Calabi-Yau流形中D膜系统的超势和几何不变量
The superpotential and geometric invariants of D-brane system on compact Calabi-Yau manifold
摘要
Abstract
The effective D-brane superpotential determines the vacuum structure and is the generating function of the Ooguri-Vafa invariants.It is of great significance in both physics and mathematics.In this work,the superpotential of the system with three D-branes is calculated by mirror symmetry,GKZ-system(hypergeometric system of Gel'fand,Kapranov,and Zelevinski)method,and the type Ⅱ/F-theory duality.On compact Calabi-Yau manifold,the superpotenial and geometric invariants of D-brane system in the three phases are studied.The calculations show that the superpotentials in the three phases are different.This implies that the enhanced gauge symmetry in low energy theory and geometric singularity may lead to the phase transition.关键词
超弦理论/F-理论/超势/Ooguri-Vafa不变量Key words
superstring/F-theory/superpotential/Ooguri-Vafa invariants分类
数理科学引用本文复制引用
李菲,杨富中..紧致Calabi-Yau流形中D膜系统的超势和几何不变量[J].中国科学院大学学报,2021,38(1):41-48,8.基金项目
Supported by the National Natural Science Foundation of China(11475178,Y4JT01VJ01) （11475178,Y4JT01VJ01）
