Three-dimensional asymptotically flat Einstein-Maxwell theory

Abstract

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

19 pages. Typos corrected, one section added for discussing the main result. To appear in Classical and Quantum Gravity

References in corpus (7)

• Building an AdS/CFT superconductor
• Gravity duals for non-relativistic CFTs
• The BMS/GCA correspondence
• Surface charge algebra in gauge theories and thermodynamic integrability
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Chiral anomalies and AdS/CMT in two dimensions
• Liouville theory beyond the cosmological horizon

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