Puncture Operator in c=1 Liouville Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages

Scientific paper

We identify the puncture operator in c=1 Liouville gravity as the discrete state with spin J=1/2. The correlation functions involving this operator satisfy the recursion relation which is characteristic in topological gravity. We derive the recursion relation involving the puncture operator by the operator product expansion. Multiple point correlation functions are determined recursively from fewer point functions by this recursion relation.

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