ON SO(8)+/- VALUED YANG-MILLS FIELDS AND MULTIINSTANTON SOLUTIONS IN 8-DIMENSIONAL CURVED SPACE


DUNDARER A.

JOURNAL OF MATHEMATICAL PHYSICS, vol.34, no.3, pp.1162-1168, 1993 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 3
  • Publication Date: 1993
  • Title of Journal : JOURNAL OF MATHEMATICAL PHYSICS
  • Page Numbers: pp.1162-1168

Abstract

SO(8)+/- valued Yang-Mills multi-instantons are generalized to include three more winding numbers by parametrizing S8 = CP1+ X CP3 and performing the map x = (u,v1,v2,v3) --> w = (u(n),v1m1,v2m2,v3m3), so that the action is proportional to the product nm1m2m3. The fields that emerge in this parametrization form local representations of SO(8) at every point (v,m) of CP3 X (Z+)3 through the decomposition SO(8) = SO(8)/SO(7)XSO(7)/SO(6)XSO(6)/U(3)XU(3). Beside the duality relation F AND F = +/-*(F AND F), these fields also satisfy F AND F AND F approximately +/-*F.