Discrete mathematics

Physics

Gravitation

Spacetime

Electron

Charge (physics)

Dyon

Born–Infeld model

Action (physics)

Mathematics

Mathematical physics

Electric charge

Magnetic monopole

Amplitude

Duality (order theory)

Quantum electrodynamics

Spin (aerodynamics)

Quantum mechanics

Classical mechanics

Coulomb

Thermodynamics

Journal of High Energy Physics

A bstract Electric-magnetic duality, the Newman-Janis shift, and the double copy all act by elementary operations on three-point amplitudes. At the same time, they generate a network of interesting classical solutions spanning from the Coulomb charge via the dyon to the Kerr-Taub-NUT spacetime. We identify the amplitudes corresponding to each of these solutions, working to all orders in spin, but to leading perturbative order. We confirm that the amplitudes double-copy when the solutions are related by the classical double copy. Along the way we show that the Kerr-Taub-NUT solution corresponds to a gravitational electric-magnetic duality rotation acting on the Kerr solution, again to all orders in spin, and demonstrate that the asymptotic charges also transform simply under our operations.

Amplitudes from Coulomb to Kerr-Taub-NUT