Interactions of Discrete States with Nonzero Ghost Number \\ in $c=1$ $2D$ Gravity

Details Interactions of Discrete States with Nonzero Ghost Number \\ in $c=1$ $2D$ Gravity Interactions of Discrete States with Nonzero Ghost Number \\ in $c=1$ $2D$ Gravity

1992-05-28

arxiv.org/abs/hep-th/9205101v1

Mod.Phys.Lett. A7 (1992) 2723-2730

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, OS-GE 25-92

Scientific paper

We study the interactions of the discrete states with nonzero ghost number in $c=1$ two-dimensional ($2D$) quantum gravity. By using the vertex operator representations, it is shown that their interactions are given by the structure constants of the group of the area preserving diffeomorphism similar to those of vanishing ghost number. The effective action for these states is also worked out. The result suggests the whole system has a BRST-like symmetry.

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