MULTIINSTANTON SOLUTIONS IN 8-DIMENSIONAL CURVED SPACE

1991-02-20
DUNDARER, AR
Starting from an SO(8) +/- Yang-Mills field F(ab), a four-index antisymmetric, non-Abelian field F(abcd) is defined. It is shown that this field satisfies a self-duality relation in eight-diemensional curved space and that its action integral is proportional to n, the winding number of the mapping from S8 onto S8 given by the octonionic transformation x --> w = x(n).