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

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

Title:	The generator of spatial di eomorphisms in the Koslowski-Sahlmann representation
Authors:	Varadarajan, Madhavan
Issue Date:	Sep-2013
Publisher:	IOP Publishing Ltd.
Citation:	Classical and Quantum Gravity, 2013, Vol.30, p175017
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.
Description:	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/5862
ISSN:	0264-9381 1361-6382 (E)
Alternative Location:	http://arxiv.org/abs/1306.6126 http://dx.doi.org/10.1088/0264-9381/30/17/175017 http://adsabs.harvard.edu/abs/2013CQGra..30q5017V
Copyright:	2009 IOP Publishing Ltd.
Appears in Collections:	Research Papers (TP)

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