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Liouville theory and Matrix models: A Wheeler DeWitt perspective · Around

2020

Liouville theory and Matrix models: A Wheeler DeWitt perspective

Betzios, Panagiotis, Papadoulaki, Olga

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We analyse the connections between the Wheeler DeWitt approach for two dimensional quantum gravity and holography, focusing mainly in the case of Liouville theory coupled to $c=1$ matter.

Our motivation is to understand whether some form of averaging is essential for the boundary theory, if we wish to describe the bulk quantum gravity path integral of this two dimensional example.
The analysis hence, is in a spirit similar to the recent studies of Jackiw-Teitelboim (JT)-gravity.
Macroscopic loop operators define the asymptotic region on which the holographic boundary dual resides.

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