On DBI Textures with Generalized Hopf Fibration

preprint2012arXivOpen access

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 SN→S3S^N\rightarrow S^3 mapping, generalizing the well-known Hopf fibration into ?πN(S3)π_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.

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