Uniqueness of electrically and magnetically charged phantom wormholes

We prove the uniqueness theorem for static spherically symmetric traversable wormholes with two asymptotically flat ends constituting the solutions of the Einstein-phantom-electric-magnetic equations of motion. For the completeness of the results, we also consider the case of the phantom $U(1)$-gauge field. The key role in the proof is bounded with the conformal positive energy theorem.