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Polyhedral Scattering of Fundamental Monopoles
Richard Battye, Gary Gibbons, Paulina Rychenkova +1
The dynamics of n slowly moving fundamental monopoles in the SU(n+1) BPS Yang-Mills-Higgs theory can be approximated by geodesic motion on the 4n-dimensional hyperkahler Lee-Weinbe…
Icosahedral Skyrmions
Richard Battye, Conor Houghton, Paul Sutcliffe
In this paper we aim to determine the baryon numbers at which the minimal energy Skyrmion has icosahedral symmetry. By comparing polyhedra which arise as minimal energy Skyrmions w…
Gradient formula for linearly self-interacting branes
Brandon Carter, Richard A. Battye, Jean-Philippe Uzan
The computation of long range linear self-interaction forces in string and higher dimensional brane models requires the evaluation of the gradients of regularised values of diverge…
Central Configurations in Three Dimensions
Richard Battye, Gary Gibbons, Paul Sutcliffe
We consider the equilibria of point particles under the action of two body central forces in which there are both repulsive and attractive interactions, often known as central conf…