Approach to Standard Model based on Superstring Compactifications

我们对各种Calabi-Yau流形上的超弦紧化和通量背景下的膜进行了系统的研究，这些超弦紧化在构造基本粒子统一模型中起着重要的作用。我们主要通过弦世界面上的共形场论以及超对称规范理论的分析，获得了关于弦理论的数学结构和通量引起的低能有效理论的非微扰方面的各种重要见解。

We have made systematic studies on the superstring compactifications on various Calabi-Yau manifolds and the branes on flux backgrounds, which plays important roles in construction of the unified model of elementary particles. We have gained various significant insights about the mathematical structure of string theory and non-perturbative aspects of low-energy effective theories caused by the flux, mainly through our approaches by conformal field theories on string worldsheet, and also analysis of supersymmetric gauge theories.