4 problems

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Uniqueness conjecture for the quasi-local edge mode
QLEM uniqueness conjecture. Whenever a QLEM exists, it is unique and does not depend on any additional relevant parameter.
Conjectureopenboundary-dynamics edge-modes quantum-spin-chainsarXiv posted 2 days ago
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Absence of tangential gravitational edge modes in higher-dimensional gravity
Higher-dimensional gravitational edge-mode conjecture. No gravitational edge modes with non-trivial profile tangential to the black hole horizon exist in higher-dimensional gravity…
Conjectureopenblack-holes edge-modes quantum-gravityarXiv posted 2 days ago
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Irrational-droplet edge-correlator conjecture for the 4D quantum Hall effect
Let $\Delta$ be an irrational droplet ratio, and let $\mathcal K_{\Delta}(\alpha,\beta)$ denote the rescaled edge correlator as a function of angular coordinates $\alpha$ and…
Conjectureopencorrelation-functions edge-modes quantum-hall-effectarXiv posted 2 days ago
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Donnelly–Freidel symplectic gluing conjecture
Donnelly–Freidel gluing conjecture. The phase space of the glued surface should be the symplectic reduction
Conjectureopenedge-modes symplectic-reduction topological-field-theoryarXiv posted 2 days ago

Uniqueness conjecture for the quasi-local edge mode