OCTONIONIC MULTI S8 CHIRAL AND GRAVITATIONAL INSTANTONS


DUNDARER A.

MODERN PHYSICS LETTERS A, cilt.6, ss.1611-1614, 1991 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 6 Konu: 17
  • Basım Tarihi: 1991
  • Dergi Adı: MODERN PHYSICS LETTERS A
  • Sayfa Sayısı: ss.1611-1614

Özet

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.