弦理论与卡-丘流形的结合

The Combination of String Theory and Calabi-Yau Manifold

经过半个多世纪的研究,尤其是两次革命的推进,弦理论成功地成为了目前最唯美、最有前途的描述宇宙的理论。其中引发第一次革命很重要的一个工作,是一个数学上存在已久的卡-丘流形被发现对弦理论有用并被引入弦理论中;就是十年之后第二次革命所引出的延续至今的M理论研究中,卡-丘流形依然是核心。弦理论与卡-丘流形的结合是整个弦理论历史上影响深远的工作。

After half a century of research, in particular the promotion of two revolutions, String Theory has success- fully become the most aesthetic and promising description of the universe. The very important research which caused the first revolution is that an already existing mathematical Calabi -Yau manifold was found to be useful for String Theory and was introduced in String Theory. In the research of M - theory, which occurred in the second revolution ten years later and continues to today, Calabi - Yau manifold is still the core. The combination of String Theory and Calabi - Yau manifold is the far - reachin~ wnrk th hn,,t ~ho 1~; r ~_：~_ ,vl