Noncommutative probability, matrix models, and quantum orbifold geometry
高能物理 - 理论
2009-11-10 v2 广义相对论与量子宇宙学
数学物理
math.MP
算子代数
摘要
Inspired by the intimate relationship between Voiculescu's noncommutative probability theory (of type A) and large-N matrix models in physics, we look for physical models related to noncommutative probability theory of type B. These turn out to be fermionic matrix-vector models at the double large-N limit. In the context of string theory, they describe different orbifolded string worldsheets with boundaries. Their critical exponents coincide with that of ordinary string worldsheets, but their renormalised tree-level one-boundary amplitudes differ.
引用
@article{arxiv.hep-th/0303086,
title = {Noncommutative probability, matrix models, and quantum orbifold geometry},
author = {C. -W. H. Lee},
journal= {arXiv preprint arXiv:hep-th/0303086},
year = {2009}
}
备注
22 pages, 8 eps figures, LaTeX2.09; title changed, mistakes corrected