Strings, matrix models, and meanders
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.
 Publication:

Nuclear Physics B Proceedings Supplements
 Pub Date:
 June 1996
 DOI:
 10.1016/09205632(96)003398
 arXiv:
 arXiv:hepth/9512211
 Bibcode:
 1996NuPhS..49..226M
 Keywords:

 High Energy Physics  Theory
 EPrint:
 12 pages, 4 Latex figures, uses espcrc2.sty Talk at the 29th Ahrenshoop Symp., Buckow, Germany, Aug.29  Sep.2, 1995