Boundary correlation numbers in one matrix model
High Energy Physics - Theory
2010-12-07 v2
Abstract
We introduce one matrix model coupled to multi-flavor vectors. The two-flavor vector model is demonstrated to reproduce the two-point correlation numbers of boundary primary fields of two dimensional (2, 2p+1) minimal Liouville gravity on disk, generalizing the loop operator (resolvent) description. The model can properly describe non-trivial boundary conditions for the matter Cardy state as well as for the Liouville field. From this we propose that the n-flavor vector model will be suited for producing the boundary correlation numbers with n different boundary conditions on disk.
Cite
@article{arxiv.1006.3906,
title = {Boundary correlation numbers in one matrix model},
author = {Goro Ishiki and Chaiho Rim},
journal= {arXiv preprint arXiv:1006.3906},
year = {2010}
}
Comments
16 pages, 3 figures, add elaboration on matter Cardy state and references