Boundary dual field theory for extended asymptotically flat three-dimensional gravity

Abstract

siehe engl.

The boundary dual field theory for a particular extension of asymptotically flat three-dimensional gravity is worked out. As an extension of the Poincare algebra iso (2, 1), the Maxwell algebra max originally describes the symmetry of a charged particle in a constant electromagnetic field, but applied to the gravitational context, it modifies the Einstein action by generalizing its cosmological term. The Poincare and Maxwell symmetries are discussed in the Chern-Simons formulation of gravity in 2+1 dimensions, which leads asymptotically to the BMS3 algebra and its Maxwell extension in the Maxwellian case. It is then shown that the Chern-Simons action can be reduced to a Wess-Zumino-Witten model, which gives,after defining suitable currents, the Kac-Moody algebra in the Poincar ́e case and its Maxwellextension in the Maxwellian case. Finally, the reduction to a BMS3 invariant Liouville-like theory and Maxwell extended BMS3 in variant Liouville-like theory is shown, which can also be derived from a Carrollian expansion of the AdS3 boundary theory.