Operator Product Expansion and Topological States in $c = 1$ Matter Coupled to 2-D Gravity

Details Operator Product Expansion and Topological States in $c = 1$ Matter Coupled to 2-D Gravity Operator Product Expansion and Topological States in $c = 1$ Matter Coupled to 2-D Gravity

1991-11-25

arxiv.org/abs/hep-th/9111049v1

Prog.Theor.Phys.Suppl.110:117-134,1992

Physics

High Energy Physics

High Energy Physics - Theory

30 pages

Scientific paper

10.1143/PTPS.110.117

Factorization of the $N$-tachyon amplitudes in two-dimensional $c=1$ quantum gravity is studied by means of the operator product expansion of vertex operators after the Liouville zero mode integration. Short-distance singularities between two tachyons with opposite chiralities account for all singularities in the $N$-tachyon amplitudes. Although the factorization is valid, other possible short-distance singularities corresponding to other combinations of vertex operators are absent since the residue vanishes. Apart from the tachyon states, there are infinitely many topological states contributing to the intermediate states. This is a more detailed account of our short communication on the factorization.

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