Two-Dimensional Conformal Models of Space-Time and Their Compactification
数学物理
2008-11-26 v3 math.MP
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.
引用
@article{arxiv.math-ph/0611053,
title = {Two-Dimensional Conformal Models of Space-Time and Their Compactification},
author = {Vladimir V. Kisil},
journal= {arXiv preprint arXiv:math-ph/0611053},
year = {2008}
}
备注
8 pages,AMS-LaTeX, 18 PS figures; v2--small corrections; v3--add two coments on notations and multidimensional generalisations