We try to develop a coherent picture of Liouville theory as a two-dimensional conformal field
theory that takes into account the perspectives of the path-integral approach, bootstrap …

Covariant quantization of string theories is developed in the context of conformal field theory
and the BRST quantization procedure. The BRST method is used to covariantly quantize …

We consider the recently proposed analytic expression for the three-point function in the
Liouville field theory on a sphere. It is verified that in the classical limit this expression …

Following the discovery of spacetime anomaly cancellation in 1984 [1], string theory has
undergone rapid development in several directions. The early hope of making direct contact …

We review the status of Liouville field theory and discuss the identification of states and
operators. The quantum theory has two kinds of states (and operators). Local operators …

Liouville conformal field theory is considered with conformal boundary. There is a family of
conformal boundary conditions parameterized by the boundary cosmological constant, so …

Dorn and Otto (1994) and independently Zamolodchikov and Zamolodchikov (1996)
proposed a remarkable explicit expression, the so-called-M DOZZ formula, for the three …

We investigate macroscopic loop amplitudes (at genus zero) using the matrix model and the
Liouville theories of two-dimensional quantum gravity. Some loop amplitudes, interpreted as …

We construct the quantum mechanical field operator of the two-dimensional Liouville theory
in a finite box. This leads us to the discovery of a new type of triangle relation which does not …

This is a text on quantum mechanics formulated simultaneously in terms of position and
momentum, ie in phase space. It is written at an introductory level, drawing on the …