Quasi-self-dual Skyrme model

A modification of the Skyrme model has been recently proposed, which admits an exact self-dual sector by introduction six scalar fields assembled in a symmetric, positive, and invertible $3\ifmmode\times\else\texttimes\fi{}3$ matrix $h$. In this paper we study soft manners breaking self-duality that model. The crucial observation is equations impose distinct conditions on three eigenvalues $h$, lying orthogonal diagonalizes We keep for latter, break those associated to eigenvalues. perform addition kinetic potential terms $h$ fields, construct numerical solutions using gradient flow method minimize static energy. It also shown just term proportional determinant leads with differing from original ones additional coupling constant.