On DBI Textures with Generalized Hopf Fibration

TL;DR

This paper demonstrates the numerical existence of higher-dimensional DBI textures characterized by generalized Hopf fibrations, highlighting their stability and natural scale due to nonlinear kinetic terms.

Contribution

It introduces the numerical existence of O(4) DBI textures in higher dimensions with generalized Hopf fibrations, extending previous models.

Findings

Existence of stable DBI textures in (N+1) dimensions for N > 3

Generalization of Hopf fibration to higher-dimensional mappings

Stability of defects due to nonlinear kinetic terms

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.