Strings, Matrix Models, and Meanders
High Energy Physics - Theory
2009-10-28 v1
Abstract
I briefly review the present status of bosonic strings and discretized random surfaces in D>1 which seem to be in a polymer rather than stringy phase. As an explicit example of what happens, I consider the Kazakov-Migdal model with a logarithmic potential which is exactly solvable for any D (at large D for an arbitrary potential). I discuss also the meander problem and report some new results on its representation via matrix models and the relation to the Kazakov-Migdal model. A supersymmetric matrix model is especially useful for describing the principal meanders.
Cite
@article{arxiv.hep-th/9512211,
title = {Strings, Matrix Models, and Meanders},
author = {Y. Makeenko},
journal= {arXiv preprint arXiv:hep-th/9512211},
year = {2009}
}
Comments
12 pages, 4 Latex figures, uses espcrc2.sty Talk at the 29th Ahrenshoop Symp., Buckow, Germany, Aug.29 - Sep.2, 1995