1997/08/31 by G. Papadopoulos, Andrew E. Teschendorff, A. Teschendorff
Physics and Astronomy · #Black Holes and Theoretical Physics #Context (archaeology) #Cosmology and Gravitation Theories #Geography #Hermitian matrix #Instanton #M-theory #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #String (physics) #String theory #Supergravity #Superposition principle #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1016/s0370-2693(97)01470-6
published as Phys.Lett.B419:115-122,1998 · 17 pages, phyzzx, many changes and a new section was added
arxiv created 1997/11/14 · openalex publication_date 1998/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 \bE4k. 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.