Liouville field theory | Wikipedia audio article
Channel: wikipedia tts
Date: 24/12/2018

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Liouville_field_theory


00:00:57 1 Parameters
00:03:00 2 Spectrum and correlation functions
00:03:11 2.1 Spectrum
00:05:34 2.2 Fields and reflection relation
00:08:47 2.3 Correlation functions and DOZZ formula
00:17:10 2.4 Uniqueness of Liouville theory
00:17:42 3 Lagrangian formulation
00:17:52 3.1 Action and equation of motion
00:22:29 3.2 Conformal symmetry
00:27:04 3.3 Path integral
00:29:08 4 Relations with other conformal field theories
00:29:19 4.1 Some limits of Liouville theory
00:30:21 4.2 WZW models
00:31:48 4.3 Conformal Toda theory
00:32:28 4.4 Supersymmetric Liouville theory
00:33:05 5 Applications
00:33:14 5.1 Liouville gravity
00:33:38 5.2 String theory
00:34:07 5.3 Other applications
00:34:39 6 Historical notes
00:34:49 7 References



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SUMMARY
=======
In physics, Liouville field theory (or simply Liouville theory) is a two-dimensional conformal field theory whose classical equation of motion is a generalization of Liouville's equation.
Liouville theory is defined for all complex values of the central charge 
  
    
      
        c
      
    
    {\displaystyle c}
   of its Virasoro symmetry algebra, but it is unitary only if 

  
    
      
        c
        ∈
        (
        1
        ,
        +
        ∞
        )
      
    
    {\displaystyle c\in (1,+\infty )}
  ,and its classical limit is 

  
    
      
        c
        →
        +
        ∞
      
    
    {\displaystyle c\to +\infty }
  .Although it is an interacting theory with a continuous spectrum, Liouville theory has been solved. In particular, its three-point function on the sphere has been determined analytically.