Geometry of Reduced Supersymmetric 4D Yang-Mills Integrals
High Energy Physics - Lattice
2010-11-19 v2 High Energy Physics - Theory
Abstract
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 implications of our results for the IKKT model.
Cite
@article{arxiv.hep-lat/0012001,
title = {Geometry of Reduced Supersymmetric 4D Yang-Mills Integrals},
author = {Z. Burda and B. Petersson and J. Tabaczek},
journal= {arXiv preprint arXiv:hep-lat/0012001},
year = {2010}
}
Comments
14 pages, Latex + 3 eps fig., a comment added to the conclusions