QUANTUM TRANSITIONS IN EARLY UNIVERSE IN THE STRING THEORY WITH T-DUALITY

具有 T 对偶性的弦理论中早期宇宙的量子跃迁

基本信息

批准号：
08640372
负责人：
KIKKAWA Keiji
金额：
$ 1.28万
依托单位：
Osaka University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1996
资助国家：
日本
起止时间：
1996 至 1997
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08640372/
关键词：
T-duality string cosmology winding mode Winding number conjugate space Type I-SST Type I'-SST Topological Field Theory D-5 brane Instanton D-brane 結合状態ディラトン

项目摘要

(1) We have studied the time development of a universe with a torus structure in a string theory. In such a topologically non-trivial space, the T-duality plays as essential role for its time development. When the space is large enough most of closed strings stay there as small loop gas. The space there, which we call the x-space, is defined as the one canonically conjugate to the center of mass momentum of the small loops. As the size of the x-space becomes small, the string winding modes around the torus dominate and the dynamics there is better described by the new space coodinate x, which is conjugate to the winding number w.In the first article in the publication list, we have studied the time development of the torus space with a special care for the transition from x-space to x-space in 2+1 dimensional model, taking account of the back ground gravity and torsion fields.In the fourth article, we studied the possibility of signal exchange between the x-space and x-space through the shinkage of the universe which occurs at the transition period from x- to x-space. Although the statistical average of coordinate correlation DELTAx・DELTAx approaches to zero, time development in the x-space after the transition makes it difficult to observe the information from the x space at the present time.(2) In the superstring theory Kunitomo et.al.constructed a generating functional of scattering amplitudes for Type I-SST,and found the mechanism how the divergence cancellation in Type I-SST can be interpreted in the dual theory Type I'. In the latter, the disk amplitudes which have boundaries on the orbifoled precisely cancel those associated with tadpole amplitudes.(3) Kunitomo et al also constructed a topological field theory which describes the ground states of D-5 branes. As a result they showed that the Heisenberg algebras in the instanton moduli space can be interpreted as creation and annihilation operators of the D-5 branes.

（1）我们研究了弦理论中具有圆环结构的宇宙的时间开发。在这样的拓扑非平凡的空间中，T偶尔是其时间发展的重要作用。当空间大时，足够的封闭串将其作为小环气。我们称之为X空间的空间被定义为在小环的质量动量中心的典型共轭中。随着X空间的大小变小，围绕Toru的弦绕线模式占主导地位，而新的空间配位X可以更好地描述与曲折数字相连的动态，在出版物列表中的第一篇文章中，我们研究了圆环的时间开发，并为从X-Space的过渡到X-Space的特殊护理而在2+1 diDementions of 2+1 diDements的过渡中进行过渡，并在2+1 diDements priends上进行过渡。文章，我们研究了X空间和X空间之间信号交换的可能性，这是在从X-空间到X空间的过渡时期发生的宇宙的变形。 Although the statistical average of coordinate correlation DELTAx・DELTAx approaches to zero, time development in the x-space after the transition makes it difficult to observe the information from the x space at the present time.(2) In the superstring theory Kunitomo et.al.constructed a generating functional of scattering amplifiers for Type I-SST, and found the mechanism how the divergence cancellation in Type I-SST can be interpreted在双重理论I'。在后者中，在轨道上具有边界的磁盘放大器精确地取消了与t的放大器相关的磁盘。结果，他们表明，Instanton Moduli空间中的Heisenberg代数可以解释为D-5 Branes的创造和an灭操作员。