Geometry of reduced supersymmetric 4D Yang-Mills integrals

We study numerically the geometric properties of reduced supersymmetric non -compact SU(N) Yang-Mills integrals in D = 4 dimensions, for N = 2, 3,...,8 . We show that in the range of large eigenvalues of the matrices A(mu). the original D-dimensional rotational symmetry is spontaneously broken and the dominating field configurations become one-dimensional, as anticipated by studies of the underlying surface theory. We also discuss possible implicat ions of our results for the IKKT model. (C) 2001 Published by Elsevier Scie nce B.V.