Strings, Matrix Models, and Meanders

Details Strings, Matrix Models, and Meanders Strings, Matrix Models, and Meanders

1995-12-28

arxiv.org/abs/hep-th/9512211v1

Nucl.Phys.Proc.Suppl. 49 (1996) 226-237

Physics

High Energy Physics

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

Scientific paper

10.1016/0920-5632(96)00339-8

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.

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