Analytic results in conformal field theory

Abstract

Since the 1980s, many exact results have been discovered in $2d$ CFT, from critical exponents to correlation functions to complete solutions of certain models. In $d>2$, there is a wealth of numerical results as well as promising analytic approaches, but comparably fewer exact answers. The aim of this conference was to review the most promising analytic methods and results in CFT in any dimension. In particular we tried to understand to which extent the $2d$ methods can be extended to $d>2$, and what is missing to exactly solve $d>2$ CFTs.

119 pages, proceedings of the 28e rencontre Itzykson, edited by Dalimil Mazac and Sylvain Ribault; v2: added links, acknowledgements, arXiv reference