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Physical Representations of Corner Symmetries
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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.
Forward citations
Cited by 4 Pith papers
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For a two-dimensional corner symmetry algebra, coherent corner states give an entanglement entropy that scales with the area when mapped to near-extremal Reissner-Nordström black holes.
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Orbit method for Quantum Corner Symmetries
Coadjoint orbits of the quantum corner symmetry group factorize into SL(2,R) and Heisenberg orbits, and their geometric quantization reproduces the known unitary representations, apart from the complementary series an...
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