Monopole Zeros
نویسنده
چکیده
Recently the existence of certain SU(2) BPS monopoles with the symmetries of the Platonic solids has been proved. Numerical results in an earlier paper suggest that one of these new monopoles, the tetrahedral 3-monopole, has a remarkable new property, in that the number of zeros of the Higgs field is greater than the topological charge (number of monopoles). As a consequence, zeros of the Higgs field exist (called anti-zeros) around which the local winding number has opposite sign to that of the total winding. In this letter we investigate the presence of anti-zeros for the other Platonic monopoles. Other aspects of anti-zeros are also discussed. ∗This work was supported in part by the Nuffield Foundation
منابع مشابه
Monopole Scattering with a Twist
By imposing certain combined inversion and rotation symmetries on the rational maps for SU(2) BPS monopoles we construct geodesics in the monopole moduli space. In the moduli space approximation these geodesics describe a novel kind of monopole scattering. During these scattering processes axial symmetry is instantaneously attained and, in some, monopoles with the symmetries of the regular soli...
متن کاملMultidimensional Global Monopole and Nonsingular Cosmology
We consider a spherically symmetric global monopole in general relativity in (D = d + 2)-dimensional spacetime. The monopole is shown to be asymptotically flat up to a solid angle defect in case γ < d−1, where γ is a parameter characterizing the gravitational field strength. In the range d− 1 < γ < 2d(d+ 1)/(d+ 2) the monopole space-time contains a cosmological horizon. Outside the horizon the ...
متن کاملCasimir densities for a spherical shell in the global monopole background
We investigate the vacuum expectation values for the energy-momentum tensor of a massive scalar field with general curvature coupling and obeying the Robin boundary condition on a spherical shell in the D + 1-dimensional global monopole background. The expressions are derived for the Wightman function, the vacuum expectation values of the field square, the vacuum energy density, radial and azim...
متن کاملCyclic Monopoles
We study charge k SU(2) BPS monopoles which are symmetric under the cyclic group of order k. Approximate twistor data (spectral curves and Nahm data) is constructed using a new technique based upon a Painlevé analysis of Nahm’s equation around a pole. With this data both analytical and numerical approximate ADHMN constructions are performed to study the zeros of the Higgs field and the monopole...
متن کامل2 00 3 Casimir densities for two concentric spherical shells in the global monopole spacetime
The quantum vacuum effects are investigated for a massive scalar field with general curvature coupling and obeying the Robin boundary conditions given on two concentric spherical shells with radii a and b in the D + 1-dimensional global monopole background. The expressions are derived for the Wightman function, the vacuum expectation values of the field square, the vacuum energy density, radial...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008