منابع مشابه
Octahedral and Dodecahedral Monopoles
It is shown that there exists a charge five monopole with octahedral symmetry and a charge seven monopole with icosahedral symmetry. A numerical implementation of the ADHMN construction is used to calculate the energy density of these monopoles and surfaces of constant energy density are displayed. The charge five and charge seven monopoles look like an octahedron and a dodecahedron respectivel...
متن کاملThe Dodecahedral Conjecture
A packing of congruent balls of unit radius in three-dimensional Euclidean space is determined by and is identified with the set Λ of centers of the balls. A packing Λ determines a region called the Voronoi cell around each ball. The Voronoi cell Ω(Λ, v) around a ball at v ∈ Λ consists of points of space that are closer to v than to any other w ∈ Λ. The Voronoi cell is a convex polyhedron conta...
متن کاملAcute triangulations of the regular dodecahedral surface
In this paper we consider geodesic triangulations of the surface of the regular dodecahedron. We are especially interested in triangulations with angles not larger than π/2, with as few triangles as possible. The obvious triangulation obtained by taking the centres of all faces consists of 20 acute triangles. We show that there exists a geodesic triangulation with only 10 non-obtuse triangles, ...
متن کاملTetrahedral and Cubic Monopoles
Using a numerical implementation of the ADHMN construction, we compute the fields and energy densities of a charge three monopole with tetrahedral symmetry and a charge four monopole with octahedral symmetry. We then construct a one parameter family of spectral curves and Nahm data which represent charge four monopoles with tetrahedral symmetry, which includes the monopole with octahedral symme...
متن کاملSemilocal Strings and Monopoles
A variation on the abelian Higgs model, with SU(2) global × U(1) local symmetry broken to U(1) global , was recently shown by Vachaspati and Achúcarro [1] to admit stable, finite energy cosmic string solutions even though the mani-fold of minima of the potential energy does not have non-contractible loops. Here we describe the most general solutions in the Bogomol'nyi limit, both in the single ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinearity
سال: 1996
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/9/2/005