De Haro, Sebastian (2017) The Invisibility of Diffeomorphisms. [Preprint]
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Abstract
I examine the relationship between (d+1)dimensional Poincaré metrics and ddimensional conformal manifolds, from both mathematical and physical perspectives. The results have a bearing on several conceptual issues relating to asymptotic symmetries, in general relativity and in gaugegravity duality, as follows:
(1: Ambient Construction) I draw from the remarkable work by Fefferman and Graham (1985, 2012) on conformal geometry, in order to prove two propositions and a theorem that characterise the classes of diffeomorphisms that qualify as {\it gravityinvisible}. I define natural notions of gravityinvisibility (strong, weak, and simpliciter) which apply to the diffeomorphisms of Poincaré metrics in any dimension.
(2: Dualities) I apply the notions of invisibility to gaugegravity dualities: which, roughly, relate Poincaré metrics in d+1 dimensions to QFTs in d dimensions. I contrast {\it QFTvisible} vs. {\it QFTinvisible} diffeomorphisms: those gravity diffeomorphisms that can, respectively cannot, be seen from the QFT.
The QFTinvisible diffeomorphisms are the ones which are relevant to the hole argument in Einstein spaces.
The results on dualities are surprising, because the class of QFTvisible diffeomorphisms is {\it larger} than expected, and the class of QFTinvisible ones is {\it smaller} than expected, or usually believed, i.e. larger than the PBH diffeomorphisms in Imbimbo et al. (2000). I also give a general derivation of the asymptotic conformal Killing equation, which has not appeared in the literature before.
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Item Type:  Preprint  

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Additional Information:  Forthcoming in Foundations of Physics  
Keywords:  Asymptotic symmetries, ambient construction, gaugegravity duality, diffeomorphism invariance, conformal geometry, philosophy of string theory  
Subjects:  Specific Sciences > Physics > Quantum Gravity Specific Sciences > Physics > Quantum Field Theory Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances 

Depositing User:  Dr Sebastian De Haro  
Date Deposited:  06 Sep 2017 18:57  
Last Modified:  06 Sep 2017 18:57  
Item ID:  13400  
Subjects:  Specific Sciences > Physics > Quantum Gravity Specific Sciences > Physics > Quantum Field Theory Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances 

Date:  6 September 2017  
URI:  https://philsciarchive.pitt.edu/id/eprint/13400 
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