OCTONIONIC MULTI S8 CHIRAL AND GRAVITATIONAL INSTANTONS

DUNDARER A.

MODERN PHYSICS LETTERS A, vol.6, no.17, pp.1611-1614, 1991 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 17
  • Publication Date: 1991
  • Journal Name: MODERN PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, zbMATH
  • Page Numbers: pp.1611-1614
  • Middle East Technical University Affiliated: No

Abstract

An 8-dimensional generalization of the sigma model is given and it is shown that these fields have topological charge n and satisfy a self-duality equation for the octonionic mappings x(n): S8 --> S8. Furthermore the Euler-Poincare index I(E) and the Pontryagin index I(P) are generalized to eight dimensions and it is shown that I(E) = n, I(P) = 0 for the above mappings.