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LIOUVILLE FIELD THEORY: A DECADE AFTER THE REVOLUTION

LIOUVILLE FIELD THEORY: A DECADE AFTER THE REVOLUTION

We review recent developments (up to January 2004) of the Liouville field theory and its matrix model dual. This review consists of two parts. In part I, we review the bosonic Liouville theory. After briefly reviewing the necessary background, we discuss the bulk structure constants (the DOZZ formula) and the …