Three-dimensional asymptotically flat Einstein–Maxwell theory

Abstract

Three-dimensional Einstein-Maxwell theory with non trivial asymptotics at\nnull infinity is solved. The symmetry algebra is a Virasoro-Kac-Moody type\nalgebra that extends the bms3 algebra of the purely gravitational case.\nSolution space involves logarithms and provides a tractable example of a\npolyhomogeneous solution space. The associated surface charges are\nnon-integrable and non-conserved due to the presence of electromagnetic news.\nAs in the four dimensional purely gravitational case, their algebra involves a\nfield-dependent central charge.\n