Liouville Field Theory -- A decade after the revolution

Details Liouville Field Theory -- A decade after the revolution Liouville Field Theory -- A decade after the revolution

2004-02-02

arxiv.org/abs/hep-th/0402009v7

Int.J.Mod.Phys.A19:2771-2930,2004

Physics

High Energy Physics

High Energy Physics - Theory

264 pages, 31 figures, based on master's thesis defended 31/01/2004, v2,3,4,5,6,7: references added, typos corrected, abridged

Scientific paper

10.1142/S0217751X04019500

We review recent developments (up to January 2004) of the Liouville field theory and its matrix model dual. This review consists of three 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. In part III, the Liouville theory on unoriented surfaces is reviewed. After introducing the crosscap state, we discuss the matrix model dual description and the tadpole cancellation condition. 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 and the comparison of the Liouville crosscap state with the c = 0 unoriented matrix model. This is based on my master's thesis submitted to Department of Physics, Faculty of Science, University of Tokyo on January 2004.

Affiliated with

Also associated with

No associations

Rating

Liouville Field Theory -- A decade after the revolution does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Liouville Field Theory -- A decade after the revolution, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Liouville Field Theory -- A decade after the revolution will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-627683