Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1991-11-12
Prog.Theor.Phys.Suppl.110:135-150,1992
Physics
High Energy Physics
High Energy Physics - Theory
24 pages (Talk given at YITP Workshop on Developments in Strings and Field Theories, Kyoto, Japan, Sept. 9-12 1991.)
Scientific paper
10.1143/PTPS.110.135
The Ward identities of the Liouville gravity coupled to the minimal conformal matter are investigated. We introduce the pseudo-null fields and the generalized equations of motion, which are classified into series of the Liouville charges. These series have something to do with the W and Virasoro constraints. The pseudo-null fields have non-trivial contributions at the boundaries of the moduli space. We explicitly evaluate the several boundary contributions. Then the structures similar to the W and the Virasoro constraints appearing in the topological and the matrix methods are realized. Although our Ward identities have some different features from the other methods, the solutions of the identities are consistent to the matrix model results.
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