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

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

1991-11-23

arxiv.org/abs/hep-th/9111048v1

Phys.Lett.B276:437-444,1992

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1016/0370-2693(92)91664-U

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.

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