The generator of spatial di eomorphisms in the Koslowski-Sahlmann representation

Varadarajan, Madhavan

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/5862

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DC Field	Value	Language
dc.contributor.author	Varadarajan, Madhavan	-
dc.date.accessioned	2014-02-25T12:20:37Z	-
dc.date.available	2014-02-25T12:20:37Z	-
dc.date.issued	2013-09	-
dc.identifier.citation	Classical and Quantum Gravity, 2013, Vol.30, p175017	en
dc.identifier.issn	0264-9381	-
dc.identifier.issn	1361-6382 (E)	-
dc.identifier.uri	http://hdl.handle.net/2289/5862	-
dc.description	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)	en
dc.description.abstract	A generalization of the representation, underlying the discrete spatial geometry of loop quantum gravity, to accomodate states labelled by smooth spatial geometries, was discovered by Koslowski and further studied by Sahlmann. We show how to construct the diffeomorphism constraint operator in this Koslowski–Sahlmann (KS) representation from suitable connection and triad dependent operators. We show that the KS representation supports the action of hitherto unnoticed 'background exponential' operators which, in contrast to the holonomy-flux operators, change the smooth spatial geometry label of the states. These operators are shown to be quantizations of certain connection dependent functions and play a key role in the construction of the diffeomorphism constraint operator.	en
dc.language.iso	en	en
dc.publisher	IOP Publishing Ltd.	en
dc.relation.uri	http://arxiv.org/abs/1306.6126	en
dc.relation.uri	http://dx.doi.org/10.1088/0264-9381/30/17/175017	en
dc.relation.uri	http://adsabs.harvard.edu/abs/2013CQGra..30q5017V	en
dc.rights	2009 IOP Publishing Ltd.	en
dc.title	The generator of spatial di eomorphisms in the Koslowski-Sahlmann representation	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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