arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv math-ph/0611053math-phmath.MP
收藏

二维共形时空模型及其紧化

Two-Dimensional Conformal Models of Space-Time and Their Compactification

Vladimir V. Kisil

摘要:

本文基于Moebius变换群研究二维共形时空模型的几何性质。自然的几何不变量,称为周期,被用来线性化莫比乌斯作用。时空的共形完备化是通过在无穷远处增加一个零半径圈来实现的。我们注意时间箭头不可逆的自然条件,以便在双曲情况下得到正确的紧化。

英文摘要:

We study geometry of two-dimensional models of conformal space-time based on the group of Moebius transformation. The natural geometric invariants, called cycles, are used to linearise Moebius action. Conformal completion of the space-time is achieved through an addition of a zero-radius cycle at infinity. We pay an attention to the natural condition of non-reversibility of time arrow in order to get a correct compactification in the hyperbolic case.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑