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

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

2006-11-21

arxiv.org/abs/math-ph/0611053v3

J.Math.Phys.48:073506,2007

Physics

Mathematical Physics

8 pages,AMS-LaTeX, 18 PS figures; v2--small corrections; v3--add two coments on notations and multidimensional generalisations

Scientific paper

10.1063/1.2747722

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.

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