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.
Free boundary conditions and the AdS$_3$/CFT$_2$ correspondence
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We show that the recently proposed free boundary conditions for AdS$_3$ are dual to two-dimensional quantum gravity in certain fixed gauges. In particular, we note that an appropriate identification of the generator of Virasoro transformations leads to a vanishing total central charge in agreement with the theory at the boundary. We argue that this identification is necessary to match the bulk and boundary generators of Virasoro transformations and for consistency with the constraint equations.
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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.