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Chiral Massive News: Null Boundary Symmetries in Topologically Massive Gravity
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abstract
We study surface charges on a generic null boundary in three dimensional topological massive gravity (TMG). We construct the solution phase space which involves four independent functions over the two dimensional null boundary. One of these functions corresponds to the massive chiral propagating graviton mode of TMG. The other three correspond to three surface charges of the theory, two of which can always be made integrable, while the last one can become integrable only in the absence of the chiral massive graviton flux through the null boundary. As the null boundary symmetry algebra we obtain Heisenberg $\oplus$ Virasoro algebra {with} a central charge proportional to the gravitational Chern-Simons term of TMG. We also discuss that the flux of the chiral massive gravitons appears as the (Bondi) news through the null surface.
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Field-dependent diffeomorphisms and the transformation of surface charges between gauges
The Weyl charge in (A)dS3 gravity is kinematical: it can be toggled on or off by a field-dependent diffeomorphism between Bondi-Sachs and Fefferman-Graham gauges.
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