c = 1 Two Dimensional Quantum Gravity

Abstract

The continuum (Liouville) approach to the two-dimensional (2-D) quantum gravity is reviewed with particular attention to the $c=1$ conformal matter coupling, and new results on a related problem of dilaton gravity are reported. After finding the physical states, we examine the procedure to compute correlation functions. The physical states in the relative cohomology show up as intermediate state poles of the correlation functions. The states in the absolute cohomology but not in the relative cohomology arise as auxiliary fields in string field theory. The Liouville approach is applied also to the quantum treatment of the dilaton gravity. The physical states are obtained from the BRST cohomology and correlation functions are computed in the dilaton gravity.

A talk given at the International Symposium on Quantum Physics and the Universe, Waseda University, August 19-22, 1992 (revised adding a reference in ref.8 and two references in ref.9) 16pages, TIT/HEP--205

References in corpus (6)

• Gauge Invariant Formulations of Lineal Gravity
• Interaction of Discrete States in Two-Dimensional String Theory
• BRST Analysis of Physical States for 2D (Super) Gravity Coupled to (Super) Conformal Matter
• Evaporation of Two Dimensional Black Holes
• Bosonization of Nonrelativistic Fermions and W-infinity Algebra
• $W$-Infinity Ward Identities and Correlation Functions in the $C=1$ Matrix Model