Derives forced KdV equation from Chern-Simons 3D gravity with chiral boundaries, with forcing set by Schrödinger eigenfunctions, and solves reflectionless and radiative sectors via inverse scattering.
A simple derivation of canonical structure and quasi-local hamiltonians in general relativity,
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Integrability in Three-Dimensional Gravity: Eigenfunction-Forced KdV Flows
Derives forced KdV equation from Chern-Simons 3D gravity with chiral boundaries, with forcing set by Schrödinger eigenfunctions, and solves reflectionless and radiative sectors via inverse scattering.