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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 knownmethod for transformation of the planar DW to Bogomolnyi form we generalize tothe curved DW-bubble adapted to the Kerr coordinate system and obtain thesupersymmetric BPS-saturated source of the KN solution, having some remarkablefeatures, in particular, the quantum angular momentum. The main new result isthat the source forms a breather, i.e. the DW-antiDW combination. Taking intoaccount that the KN solution describes the spinning particles with gyromagneticratio g = 2, as that of the Dirac electron, we touch the problem of thecompatibility of the spinning particles with gravity.

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