Ground Rings and Their Modules in 2D Gravity with $c\le 1$ Matter

Abstract

All solvable two-dimensional quantum gravity models have non-trivial BRST cohomology with vanishing ghost number. These states form a ring and all the other states in the theory fall into modules of this ring. The relations in the ring and in the modules have a physical interpretation. The existence of these rings and modules leads to nontrivial constraints on the correlation functions and goes a long way toward solving these theories in the continuum approach.

13 pages

References in corpus (1)

• Open String Theory in 1+1 Dimensions

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