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- W1979043178 abstract "We construct explicit BPS and non-BPS solutions of the U(2k) Yang-Mills equations on the noncommutative space R^{2n}_theta x S^2 with finite energy and topological charge. By twisting with a Dirac multi-monopole bundle over S^2, we reduce the Donaldson-Uhlenbeck-Yau equations on R^{2n}_theta x S^2 to vortex-type equations for a pair of U(k) gauge fields and a bi-fundamental scalar field on R^{2n}_theta. In the SO(3)-invariant case the vortices on R^{2n}_theta determine multi-instantons on R^{2n}_theta x S^2. We show that these solutions give natural physical realizations of Bott periodicity and vector bundle modification in topological K-homology, and can be interpreted as a blowing-up of D0-branes on R^{2n}_theta into spherical D2-branes on R^{2n}_theta x S^2. In the generic case with broken rotational symmetry, we argue that the D0-brane charges on R^{2n}_theta x S^2 provide a physical interpretation of the Adams operations in K-theory." @default.
- W1979043178 created "2016-06-24" @default.
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- W1979043178 date "2003-12-12" @default.
- W1979043178 modified "2023-09-25" @default.
- W1979043178 title "Noncommutative instantons in higher dimensions, vortices and topological K-cycles" @default.
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- W1979043178 doi "https://doi.org/10.1088/1126-6708/2003/12/022" @default.
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