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2023

Algebras and States in JT Gravity

Penington, Geoff, Witten, Edward

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We analyze the algebra of boundary observables in canonically quantised JT gravity with or without matter.

In the absence of matter, this algebra is commutative, generated by the ADM Hamiltonian.
After coupling to a bulk quantum field theory, it becomes a highly noncommutative algebra of Type II$_\infty$ with a trivial center.
As a result, density matrices and entropies on the boundary algebra are uniquely defined up to, respectively, a rescaling or shift.

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