# Emergence of Lie group symmetric classical spacetimes in canonical tensor model

@inproceedings{Kawano2021EmergenceOL, title={Emergence of Lie group symmetric classical spacetimes in canonical tensor model}, author={Taigen Kawano and Naoki Sasakura}, year={2021} }

We analyze a wave function of a tensor model in the canonical formalism, when the argument of the wave function takes Lie group invariant or nearby values. Numerical computations show that there are two phases, which we call the quantum and the classical phases, respectively. In the classical phase, fluctuations are suppressed, and there emerge configurations which are discretizations of the classical geometric spaces invariant under the Lie group symmetries. This is explicitly demonstrated for…

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