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arxiv: 1403.3835 · v2 · pith:CWU43ECQnew · submitted 2014-03-15 · ✦ hep-th · gr-qc

Holographic positive energy theorems in three-dimensional gravity

classification ✦ hep-th gr-qc
keywords energygravityorbitspositivetheoremsthree-dimensionalanti-deasymptotically
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The covariant phase space of three-dimensional asymptotically flat and anti-de Sitter gravity is controlled by well-understood coadjoint orbits of the Virasoro group. Detailed knowledge on the behavior of the energy functional on these orbits can be used to discuss positive energy theorems.

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    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.