English

The Relation between Mixed Boundary States in Two- and Three- Matrix Models

High Energy Physics - Theory 2009-10-30 v3

Abstract

We discuss the relation among some disk amplitudes with non-trivial boundary conditions in two-dimensional quantum gravity. They are obtained by the two-matrix model as well as the three-matirx model for the case of the tricritical Ising model. We examine them for simple spin configurations, and find that a finite number of insertions of the different spin states cannot be observed in the continumm limit. We also find a closed set of eight Schwinger-Dyson equations which determines the disk amplitudes in the three-matrix model.

Keywords

Cite

@article{arxiv.hep-th/9705002,
  title  = {The Relation between Mixed Boundary States in Two- and Three- Matrix Models},
  author = {Masahiro Anazawa and Atushi Ishikawa and Hirokazu Tanaka},
  journal= {arXiv preprint arXiv:hep-th/9705002},
  year   = {2009}
}

Comments

7 pages, LaTex, minor corrections

R2 v1 2026-07-22T16:04:49.974Z