##
**Supersymmetric superconducting bag as the core of a Kerr spinning particle.**
*(English)*
Zbl 1025.83029

Summary: The problem of a regular matter source for the Kerr spinning particle is discussed. Minimal deformations of they Kerr-Newman solution in the Kerr-Schild class are considered obeying the conditions of regularity and smoothness for the metric and its matter source. It is shown that, for a charged source, the corresponding matter forms a rotating bag-like core having an (A)dS interior and a smooth domain wall boundary. As a field model possessing the necessary properties for such a source, we further discuss the supersymmetric version of the Witten \(U(I)\times U'(I)\) field model (given by Morris) which is adapted for describing a superconducting bag having a long-range external electromagnetic field and another gauge field confined inside the bag. Some peculiarities of this model for a rotating bag-like source of the Kerr-Newman geometry and its deformation in supergravity are discussed.

### MSC:

83E30 | String and superstring theories in gravitational theory |

83C10 | Equations of motion in general relativity and gravitational theory |