ZhETF, Vol. 148,
p. 937 (November 2015)
(English translation - JETP,
Vol. 121, No. 5,
available online at www.springer.com
STABILITY OF THE LEPTON BAG MODEL BASED ON THE KERR-NEWMAN SOLUTION
Received: May 19, 2015
We show that the lepton bag model considered in our previous paper [BurGrBag], generating the external gravitational and electromagnetic fields of the Kerr-Newman (KN) solution, is supersymmetric and represents a BPS-saturated soliton interpolating between the internal vacuum state and the external KN solution. We obtain Bogomolnyi equations for this phase transition and show that the Bogomolnyi bound determines all important features of this bag model, including its stable shape. In particular, for the stationary KN solution, the BPS bound provides stability of the ellipsoidal form of the bag and the formation of the ring-string structure at its border, while for the periodic electromagnetic excitations of the KN solution, the BPS bound controls the deformation of the surface of the bag, reproducing the known flexibility of bag models.