Unification Theory by Superstring Model and Early Cosmology

超弦模型和早期宇宙学的统一理论

基本信息

批准号：
61540209
负责人：
KIKKAWA Keiji
金额：
$ 0.96万
依托单位：
Faculty of Science, Osaka University
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1986
资助国家：
日本
起止时间：
1986 至 1987
项目状态：
已结题

项目摘要

The project started in 1986 to study two fundamental questions of the string and/or the superstring: (a) whether the string theory can be qualified as a theory of unifying the space-time geometry and fundamental interactions of the matter, and (b) whether the string theory provides us with any reasonable universe.We first questioned ourselves why the string is used as amodel of unification theory and none others such as the membrane, etc.. For any model to be the candidate, it must generate zero-mass particles (gauge bosons and graveion) in its spectum. We calculated the Casimir energy of membrane and showed that it never generates massless particles if the space-time dimensions are integers. This is supposed to be true except for the string.For the string to be qualified as the unification theory, the field theory of string must be formulated in a way that is geometry independent. We studied the cubic action model of string which was suggested by Friedan, Yoneya and Witten, and then m … More athematically formulated by Hata, Itoh, Kygo, Kunitomo and Ogawa, and Horowitz, Lykken, Rhom and Strominger. By solving the equation of motion derived from the cubic action, we proved that all the conformal invariant background metric fields (including torsion and dilaton), which derived in the non-linear sigma model approach, are the classical solutions of the cubic action as well. This shows that the cubic action model is indeed a non-trivial and selfcontained geometry independent field theory of string.In order to extend above ideas to the superstring we studied a number of properties of superstring amplitudes. Polyakov's path integral method, which has been extensively used in the above arguments, was applied to superstrings and showed that the supermoduli and the conformal Killing spinor play fundamental roles in the gauge anomaly cancellation. These practices in superstring are indispendable in our next project where the geometry independent field theory of superstring is to be studied. Less

该项目始于1986年，旨在研究串和/或超声词的两个基本问题：（a）弦理论是否可以作为统一物质的时空几何形状和基本相互作用的理论资格，以及（b）字符串理论为我们提供任何合理的宇宙。我们是否首先质疑符合统一的模型和统一的模型，等等。零质量颗粒（仪表和坟墓）的光彩。我们计算了膜的Casimir能量，并表明如果时空尺寸是整数，它永远不会产生无质量的颗粒。除了字符串外，这将是正确的。要使字符串作为统一理论的资格，必须以独立的几何形状来制定字符串理论。我们研究了弗里丹（Friedan），Yoneya和Witten提出的立方动作模型，然后是M…更知名的，由HATA，ITOH，KYGO，KYGO，KYGO，KUNITOMO和OGAWA以及HOROWITZ，LYKKEN，RHOM，RHOM，RHOM和Strominger提出。通过求解源自立方体作用的运动方程，我们证明了在非线性Sigma模型方法中得出的所有保形的不变背景度量场（包括扭转和Dilaton）也是立方作用的经典解决方案。这表明，立方动作模型确实是一个非平凡且独立的几何学界面理论。 Polyakov的路径积分方法已在上述参数中广泛使用，它应用于超弦，并表明超霉菌和保形杀死旋转旋物在消除仪表异常中的基本角色。在我们的下一个项目中，这些实践中的这些实践是必不可少的，在我们的下一个项目中，几何独立领域的superString理论将是研究。较少的