Source of the Kerr-Newman Solution as a Supersymmetric Domain-Wall Bubble: 50 years of the problem

TL;DR

This paper models the Kerr-Newman solution as a supersymmetric, BPS-saturated domain wall bubble, revealing it as a spinning soliton with quantum angular momentum and a breather structure, linking gravity and spinning particles.

Contribution

It introduces a supersymmetric, curved domain wall model for the Kerr-Newman source, generalizing the Bogomolnyi form to curved geometries and demonstrating a breather structure.

Findings

The source forms a supersymmetric breather with DW-antiDW structure.

The model incorporates quantum angular momentum into the classical solution.

It connects spinning particles with gravity through a supersymmetric domain wall framework.

Abstract

We consider the chiral field model of the source of the Kerr-Newman (KN) solution and obtain that it represents a supersymmetric spinning soliton, bounded by the chiral domain wall (DW) of the ellipsoidal form. The known method for transformation of the planar DW to Bogomolnyi form we generalize to the curved DW-bubble adapted to the Kerr coordinate system and obtain the supersymmetric BPS-saturated source of the KN solution, having some remarkable features, in particular, the quantum angular momentum. The main new result is that the source forms a breather, i.e. the DW-antiDW combination. Taking into account that the KN solution describes the spinning particles with gyromagnetic ratio g = 2, as that of the Dirac electron, we touch the problem of the compatibility of the spinning particles with gravity.