Liouville Field Theory:
Abstract
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 boundary states (the FZZT brane and the ZZ brane). Various applications are also presented. In part II, we review the supersymmetric extension of the Liouville theory. We first discuss the bulk structure constants and the branes as in the bosonic Liouville theory, and then we present the matrix dual descriptions with some applications. This review also includes some original material such as the derivation of the conjectured dual action for the { N}=2 Liouville theory from other known dualities.
 Publication:

International Journal of Modern Physics A
 Pub Date:
 2004
 DOI:
 10.1142/S0217751X04019500
 arXiv:
 arXiv:hepth/0402009
 Bibcode:
 2004IJMPA..19.2771N
 Keywords:

 Noncritical string theory;
 Liouville theory;
 matrix model;
 High Energy Physics  Theory
 EPrint:
 264 pages, 31 figures, based on master's thesis defended 31/01/2004, v2,3,4,5,6,7: references added, typos corrected, abridged version published in IJMPA