Ground Ring Of Two Dimensional String Theory

Details Ground Ring Of Two Dimensional String Theory Ground Ring Of Two Dimensional String Theory

1991-08-16

arxiv.org/abs/hep-th/9108004v1

Nucl.Phys.B373:187-213,1992

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1016/0550-3213(92)90454-J

String theories with two dimensional space-time target spaces are characterized by the existence of a ``ground ring'' of operators of spin $(0,0)$. By understanding this ring, one can understand the symmetries of the theory and illuminate the relation of the critical string theory to matrix models. The symmetry groups that arise are, roughly, the area preserving diffeomorphisms of a two dimensional phase space that preserve the fermi surface (of the matrix model) and the volume preserving diffeomorphisms of a three dimensional cone. The three dimensions in question are the matrix eigenvalue, its canonical momentum, and the time of the matrix model.

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