Geometry of reduced supersymmetric 4D Yang–Mills integrals Original Research Article

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 Aμ, 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 implications of our results for the IKKT model.