Two-dimensional conformal models of space-time and their compactification

Abstract

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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Item Type:	Article
Authors/Creators:	Kisil, V https://orcid.org/0000-0002-6593-6147
Copyright, Publisher and Additional Information:	(c) 2007 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared in Kisil, V (2007) Two-dimensional conformal models of space-time and their compactification. Journal of Mathematical Physics, 48 (7). 073506. ISSN 0022-2488 and may be found at https://doi.org/10.1063/1.2747722. Uploaded in accordance with the publisher's self-archiving policy.
Keywords:	Moebius transformations; Space-time; compactification; conformal
Dates:	Published: 11 July 2007
Institution:	The University of Leeds
Academic Units:	The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds)
Depositing User:	Symplectic Publications
Date Deposited:	23 Aug 2019 14:43
Last Modified:	23 Aug 2019 14:43
Status:	Published
Publisher:	AIP Publishing
Identification Number:	10.1063/1.2747722
Open Archives Initiative ID (OAI ID):	oai:eprints.whiterose.ac.uk:111536

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Two-dimensional conformal models of space-time and their compactification

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