Two-dimensional conformal models of space-time and their compactification
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- 1 July 2007
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 48 (7) , 073506
Abstract
We study geometry of two-dimensional models of conformal space-time based on the group of Möbius transformation. The natural geometric invariants, called cycles, are used to linearize Möbius 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 nonreversibility of time arrow in order to get a correct compactification in the hyperbolic case.Keywords
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