Strings, Matrix Models, and Meanders * †

  title={Strings, Matrix Models, and Meanders * †},
  author={Yuri Makeenko},
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… CONTINUE READING