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.
Nuclear Physics B Proceedings Supplements
- Pub Date:
- June 1996
- High Energy Physics - Theory
- 12 pages, 4 Latex figures, uses espcrc2.sty Talk at the 29th Ahrenshoop Symp., Buckow, Germany, Aug.29 - Sep.2, 1995