On Multi-Point Liouville Field Theory
- 68 Downloads
In many cases, the classical or semi-classical Liouville field theory appears in the form of Fuchsian or Riemann differential equations whose solutions cannot be simply found, or atleast require a comprehensive knowledge on analytical techniques of differential equations of mathematical physics. Here, instead of other cumbersome methodologies such as treating with the Heun functions, we use the quasi-exact ansatz approach and thereby solve the so-called resulting two- and three-point differential equations in a very simple manner. We apply the approach to two recent papers in the field.
KeywordsLiouville Theory Tachyon Condensation Conformal Bootstrap Liouville Action Heun Function
Unable to display preview. Download preview PDF.
- 12.Gaiotto, D., Witten, E.: Knot invariants from four-dimensional gauge theory. arXiv:1106.4789Google Scholar