Abstract
We search for an abelian description of the Yang-Mills instantons on certain eight dimensional manifolds with the special holonomies Spin(7) and SU(4). By mimicing the Seiberg-Witten theory in four dimensions, we propose a set of C. monopole-like equations governing the 8-dimensional U(1) connections and spinors, which are supposed to be the dual theory of the nonabelian instantons. We also give a naive test of the generalized S-duality in the abelian sector of 8-dimensional Yang-Mills theory. Some problems in this approach are pointed out.
Original language | English (US) |
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Pages (from-to) | 11-22 |
Number of pages | 12 |
Journal | Journal of High Energy Physics |
Volume | 4 |
Issue number | 5 PART B |
State | Published - 2000 |
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
Keywords
- Duality in Gauge Field Theories
- Solitons Monopoles and Instantons