A Generating Function for Fatgraphs
高能物理 - 理论
2007-05-23 v1
摘要
We study a generating function for the sum over fatgraphs with specified valences of vertices and faces, inversely weighted by the order of their symmetry group. A compact expression is found for general (i.e. non necessarily connected) fatgraphs. This expression admits a matrix integral representation which enables to perform semi--classical computations, leading in particular to a closed formula corresponding to (genus zero, connected) trees.
引用
@article{arxiv.hep-th/9212108,
title = {A Generating Function for Fatgraphs},
author = {P. Di Francesco and C. Itzykson},
journal= {arXiv preprint arXiv:hep-th/9212108},
year = {2007}
}
备注
24 pages, uses harvmac macro, 1 figure not included, Saclay preprint SPhT/92-162