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Near horizon dynamics of three dimensional black holes
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We perform the Hamiltonian reduction of three dimensional Einstein gravity with negative cosmological constant under constraints imposed by near horizon boundary conditions. The theory reduces to a Floreanini-Jackiw type scalar field theory on the horizon, where the scalar zero modes capture the global black hole charges. The near horizon Hamiltonian is a total derivative term, which explains the softness of all oscillator modes of the scalar field. We find also a (Korteweg-de Vries) hierarchy of modified boundary conditions that we use to lift the degeneracy of the soft hair excitations on the horizon.
Forward citations
Cited by 4 Pith papers
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On Integrable Structures on Non-compact Boundaries in Three-Dimensional Gravity
Exact finite-cutoff radial flow in 3D gravity realizes T̄T deformation, boundary dynamics is integrable via inverse scattering, but the radial flow itself is non-Hamiltonian.
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Dimensional reduction of AdS3 Chern-Simons gravity: Schwarzian and affine boundary theories
Symmetry reduction of 3D AdS Chern-Simons gravity on toroidal boundary yields two inequivalent 1D boundary theories: standard Schwarzian and affine-deformed Schwarzian with Kac-Moody extensions.
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Strings near BTZ black holes: A Carrollian Chronicle
The paper classifies families of closed bosonic string solutions in the near-horizon non-extremal BTZ spacetime and identifies novel features via string-Carroll expansion.
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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.
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