In N=2 super-JT gravity with matter, projecting boundary algebras onto zero-energy states gives a Type II_1 factor per boundary, with operator products computed from matter three-point couplings and the matter vacuum as the canonical trace.
Causal connectability between quantum systems and the black hole interior in holographic duality
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Algebras and states in super-JT gravity
In N=2 super-JT gravity with matter, projecting boundary algebras onto zero-energy states gives a Type II_1 factor per boundary, with operator products computed from matter three-point couplings and the matter vacuum as the canonical trace.