Noncommutative probability, matrix models, and quantum orbifold geometry
Abstract
Inspired by the intimate relationship between Voiculescu's noncommutative probability (of type A) and largeN matrix models in physics, we look for physical models related to noncommutative probability theory of type B. These turn out to be fermionic matrixvector models at the double largeN limit. They describe different quantum orbifold spacetimes with boundaries. Their critical exponents coincide with that of ordinary quantum spacetime, but their renormalised treelevel oneboundary amplitudes differ.
 Publication:

Journal of High Energy Physics
 Pub Date:
 June 2003
 DOI:
 10.1088/11266708/2003/06/044
 arXiv:
 arXiv:hepth/0303086
 Bibcode:
 2003JHEP...06..044L
 Keywords:

 Models of Quantum Gravity Matrix Models 2D Gravity Lattice Models of Gravity;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Mathematical Physics;
 Mathematics  Operator Algebras
 EPrint:
 22 pages, 8 eps figures, LaTeX2.09