On DBI Textures with Generalized Hopf Fibration

Abstract

In this letter we show numerical existence of O(4) Dirac-Born-Infeld (DBI) Textures living in (N +1) dimensional spacetime. These defects are characterized by $S^N\rightarrow S^3$ mapping, generalizing the well-known Hopf fibration into ?$\pi_N (S^3)$, for all N > 3. The nonlinear nature of DBI kinetic term provides stability against size perturbation and thus renders the defects having natural scale.