Knotted configurations with arbitrary Hopf index from the eikonal equation
نویسندگان
چکیده
منابع مشابه
Knotted Configurations with Arbitrary Hopf Index from the Eikonal Equation
The complex eikonal equation in (3+1) dimensions is investigated. It is shown that this equation generates many multi-knot configurations with an arbitrary value of the Hopf index. In general, these eikonal knots do not have the toroidal symmetry. For example, a solution with topology of the trefoil knot is found. Moreover, we show that the eikonal knots provide an analytical framework in which...
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The complex eikonal equation in (3+1) dimensions is investigated. It is shown that this equation generates many multi soliton configurations with arbitrary value of the Hopf index. In general, these eikonal hopfions do not have the toroidal symmetry. For example, a hopfion with topology of the trefoil knot is found. Moreover, we argue that such solitons might be helpful in construction of appro...
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Field theories with a S 2-valued unit vector field living on S 3 × IR space-time are investigated. The corresponding eikonal equation, which is known to provide an integrable sector for various sigma models in different spaces, is solved giving static as well as time-dependent multiply knotted configurations on S 3 with arbitrary values of the Hopf index. Using these results, we then find a set...
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ژورنال
عنوان ژورنال: The European Physical Journal C
سال: 2005
ISSN: 1434-6044,1434-6052
DOI: 10.1140/epjc/s2005-02300-4