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SU(2)-multi-instantons over S 2×S 2
Authors:R Bautista  J Muciño  M Rosenbaum
Institution:(1) Instituto de Matemáticas, Universidad Nacional Autónoma de México, Apartado Postal 70-543, México, DF, Mexico;(2) Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, México, DF, Mexico
Abstract:Making use of the general theory of connections invariant under a symmetry group which acts transitively on fibers, explicit solutions are derived for SU(2)×SU(2)-symmetric multi-instantons over S 2×S 2, with SU(2) structure group. These multi-instantons correspond to a principal fiber bundle characterized by a second Chern number given by 2m 2, with m an integer.
Keywords:53C05  53C30  55R10
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