Cyclic statistics in three dimensions

Surya, Sumati

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/1245

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DC Field	Value	Language
dc.contributor.author	Surya, Sumati	-
dc.date.accessioned	2006-05-16T09:20:38Z	-
dc.date.available	2006-05-16T09:20:38Z	-
dc.date.issued	2004-06	-
dc.identifier.citation	Journal of Mathematical Physics, 2004, Vol.45, p2515-2525	en
dc.identifier.issn	0022-2488	-
dc.identifier.uri	http://hdl.handle.net/2289/1245	-
dc.description.abstract	The existence of anyons in two-dimensional systems is a well-known example of nonpermutation group statistics. In higher dimensions, however, it is expected that statistics is dictated solely by representations of the permutation group. Using basic elements from representation theory we show that this expectation is false in three-dimensions for a certain nongravitational system. Namely, we demonstrate the existence of "cyclic," or [openface Z]n, nonpermutation group statistics for a system of n>2 identical, unknotted rings embedded in [openface R]3. We make crucial use of a theorem due to Goldsmith in conjunction with the Fuchs–Rabinovitch relations for the automorphisms of the free product group on n elements.	en
dc.format.extent	138836 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	en
dc.publisher	The American Institute of Physics	en
dc.relation.uri	http://link.aip.org/link/?jmp/45/2515	en
dc.rights	(2004)American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.	en
dc.title	Cyclic statistics in three dimensions	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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