Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-08-21
Phys.Lett.B419:115-122,1998
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, phyzzx, many changes and a new section was added
Scientific paper
10.1016/S0370-2693(97)01470-6
We interpret a class of 4k-dimensional instanton solutions found by Ward, Corrigan, Goddard and Kent as four-dimensional instantons at angles. The superposition of each pair of four-dimensional instantons is associated with four angles which depend on some of the ADHM parameters. All these solutions are associated with the group $Sp(k)$ and are examples of Hermitian-Einstein connections on $\bE^{4k}$. We show that the eight-dimensional solutions preserve 3/16 of the ten-dimensional N=1 supersymmetry. We argue that under the correspondence between the BPS states of Yang-Mills theory and those of M-theory that arises in the context of Matrix models, the instantons at angles configuration corresponds to the longitudinal intersecting 5-branes on a string at angles configuration of M-theory.
Papadopoulos George
Teschendorff Andrew
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