An operator-algebraic quantization of the characteristic initial-value problem yields a candidate on-shell algebra for a gravitational subregion bounded by two null hypersurfaces.
Physical Representations of Corner Symmetries
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abstract
We give the full representation theory of the gravitational extended corner symmetry group in two-dimensions. This includes projective representations, which correspond to representations of the quantum corner symmetry group. We find that they are described by one-dimensional conformal fields with an additional index in the Fock space of the harmonic oscillator. We begin with a review of Mackey's theory of induced representations and then proceed to its application to the corner symmetries. The field representations, induced from the irreducible representations of the special linear group are worked out first. The little group method is then applied to the extended corner symmetry group to obtain the irreducible unitary representations. Finally, we focus on projective representations and their application to the description of local subsystems.
fields
hep-th 2years
2026 2representative citing papers
Derives a thermal fluctuation formula for causal-diamond boundary area with a linear term of Verlinde-Zurek scaling interpreted as statistical evidence for discrete quanta of geometry.
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Quantization of Gravity on Null Hypersurfaces
An operator-algebraic quantization of the characteristic initial-value problem yields a candidate on-shell algebra for a gravitational subregion bounded by two null hypersurfaces.
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Quantum Geometry from Area Fluctuations
Derives a thermal fluctuation formula for causal-diamond boundary area with a linear term of Verlinde-Zurek scaling interpreted as statistical evidence for discrete quanta of geometry.