Instantons and the monopole-like equations in eight dimensions

Yi Hong Gao, Gang Tian

Research output: Contribution to journalArticle

11 Scopus citations

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 languageEnglish (US)
Pages (from-to)11-22
Number of pages12
JournalJournal of High Energy Physics
Volume4
Issue number5 PART B
StatePublished - Dec 1 2000

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • Duality in Gauge Field Theories
  • Solitons Monopoles and Instantons

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