Shaping up BPS States with Matrix Model Saddle Points
Abstract
We provide analytical results for the probability distribution of a family of wavefunctions of a quantum mechanics model of commuting matrices in the large-N limit. These wavefunctions describe the strong coupling limit of 1/8 BPS states of N=4 supersymmetric Yang-Mills theory. Therefore, in the large-N limit, they should be dual to classical solutions of type IIB supergravity that asymptotically approach AdS5xS5. Each probability distribution can be described as the partition function of a matrix model (different wavefunctions correspond to different matrix model potentials) which we study by means of a saddle point approximation. These saddle point solutions are given in terms of (five-dimensional) hypersurfaces supporting density distributions of eigenvalues.
Cite
@article{arxiv.1007.5284,
title = {Shaping up BPS States with Matrix Model Saddle Points},
author = {Diego H. Correa and Martin Wolf},
journal= {arXiv preprint arXiv:1007.5284},
year = {2010}
}
Comments
23 pages; v2 added reference