Noncommutative probability, matrix models, and quantum orbifold geometry
Lee, C. -W. H.
arXiv, 0303086 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-03-10
Classification:  High Energy Physics - Theory,  General Relativity and Quantum Cosmology,  Mathematical Physics,  Mathematics - Operator Algebras 
@article{0303086,
     author = {Lee, C. -W. H.},
     title = {Noncommutative probability, matrix models, and quantum orbifold geometry},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0303086}
}

Lee, C. -W. H. Noncommutative probability, matrix models, and quantum orbifold geometry. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0303086/