ar X iv : h ep - t h / 04 06 24 4 v 1 2 5 Ju n 20 04 A model for Hopfions on the space - time S 3 × IR
نویسندگان
چکیده
We construct static and time dependent exact soliton solutions for a theory of scalar fields taking values on a wide class of two dimensional target spaces, and defined on the four dimensional space-time S 3 × IR. The construction is based on an ansatz built out of special coordinates on S 3. For the case where the target space is the sphere S 2 , the infinite set of solutions have non-trivial Hopf topological charges.
منابع مشابه
ar X iv : h ep - t h / 04 06 24 4 v 2 1 3 O ct 2 00 4 A model for Hopfions on the space - time S 3 × IR
We construct static and time dependent exact soliton solutions for a theory of scalar fields taking values on a wide class of two dimensional target spaces, and defined on the four dimensional space-time S 3 × IR. The construction is based on an ansatz built out of special coordinates on S 3. The requirement for finite energy introduces boundary conditions that determine an infinite discrete sp...
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