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SUMMARY:Doubly-periodic monopoles\, and triply-periodic generalized skyrmi
 ons - Richard Ward (Durham University)
DTSTART:20101014T140000Z
DTEND:20101014T150000Z
UID:TALK24474@talks.cam.ac.uk
CONTACT:6743
DESCRIPTION:The talk will describe some recent work on arrays of 3d topolo
 gical\nsolitons\, in two different systems. The first is static\nYang-Mill
 s-Higgs monopoles (an integrable system of PDEs)\, and\nspecifically doubl
 y-periodic solutions (monopole domain walls).\nA few explicit solutions of
  this type are known\; and various analytic\ntechniques\, such as the gene
 ralized Nahm transform\, are available\nfor understanding them. I shall re
 view what is known\, and describe\nsome analytic and numerical results.\n\
 nThe second half deals with a triply-periodic solutions (crystals)\nin a f
 amily of Skyrme systems\, where the field takes values in the\nsquashed 3-
 sphere. This family includes the standard Skyrme model\n(round 3-sphere) a
 nd the Faddeev-Hopf case (maximal squashing).\nIn the round case\, the low
 est-energy crystal is a cubic lattice of\nhalf-skyrmions\; but in the squa
 shed case the crystal structure is\ndifferent\, and I shall describe some 
 of the structures that arise.
LOCATION:MR14\, CMS
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