A Maxwellian extension of flat Liouville theory is derived as the boundary dual of Maxwell-invariant 2+1 Chern-Simons gravity, and is shown to match a geometric action and a Carrollian expansion of the AdS3 dual.
Berry Phases on Virasoro Orbits
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abstract
We point out that unitary representations of the Virasoro algebra contain Berry phases obtained by acting on a primary state with conformal transformations that trace a closed path on a Virasoro coadjoint orbit. These phases can be computed exactly thanks to the Maurer-Cartan form on the Virasoro group, and they persist after combining left- and right-moving sectors. Thinking of Virasoro representations as particles in AdS_3 dressed with boundary gravitons, the Berry phases associated with Brown-Henneaux diffeomorphisms provide a gravitational extension of Thomas precession.
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Boundary dynamics of Maxwell-invariant three-dimensional Chern-Simons gravity
A Maxwellian extension of flat Liouville theory is derived as the boundary dual of Maxwell-invariant 2+1 Chern-Simons gravity, and is shown to match a geometric action and a Carrollian expansion of the AdS3 dual.