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• W2023139304 startingPage "225025" @default.
• W2023139304 abstract "In this paper, I investigate the possible quantization, in the context of LQG, of three dimensional gravity in the case of positive cosmological constant {Lambda} and try to make contact with alternative quantization approaches already existing in the literature. Due to the appearance of an anomaly in the constraints algebra, previously studied as a first step of the analysis, alternative techniques developed for the quantization of systems with constraints algebras not associated with a structure Lie group need to be adopted. Therefore, I introduce an ansatz for a physical state which gives some transition amplitudes in agreement with what one would expect from the Turaev-Viro model. Moreover, in order to check that this state implements the right dynamicss, I show that it annihilates the master constraint for the theory up to the first order in {Lambda}." @default.
• W2023139304 created "2016-06-24" @default.
• W2023139304 creator A5005438161 @default.
• W2023139304 date "2011-10-31" @default.
• W2023139304 modified "2023-10-09" @default.
• W2023139304 title "2 + 1 gravity with a positive cosmological constant in LQG: a proposal for the physical state" @default.
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• W2023139304 doi "https://doi.org/10.1088/0264-9381/28/22/225025" @default.
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