Adjustments.

solvable.tex

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 \begin{abstract}
 We review two-dimensional CFT in the bootstrap approach, and sketch the known exactly solvable CFTs with no extended chiral symmetry: Liouville theory, (generalized) minimal models, limits thereof, and loop CFTs, including the $O(n)$, Potts and $U(n)$ CFTs. 
 
-Exact solvability relies on local conformal symmetry, and on the existence of degenerate fields. We formalize these assumptions in terms of an interchiral algebra and interchiral blocks, and explain how they constrain the spectrum and correlation functions. Exact solvability also relies on analyticity assumptions for the dependence of correlation functions on the central charge and on the conformal dimensions of diagonal fields. In particular, we show how analyticity assumptions determine the logarithmic conformal blocks that appear in loop CFTs. 
+Exact solvability relies on local conformal symmetry, and on the existence of degenerate fields. We formalize these assumptions in terms of an interchiral algebra and interchiral blocks, and explain how they constrain the spectrum and correlation functions. 
 
-Under these symmetry assumptions, we discuss the crossing symmetry equations, and how they can be solved analytically or numerically. This leads to analytic formulas for structure constants, written in terms of the double Gamma function. 
+% Exact solvability also relies on analyticity assumptions for the dependence of correlation functions on the central charge and on the conformal dimensions of diagonal fields. In particular, we show how analyticity assumptions determine the logarithmic conformal blocks that appear in loop CFTs. 
 
-In the case of loop CFTs, we sketch the corresponding statistical models, and derive the relation between statistical and CFT variables. We review the resulting combinatorial description of correlation functions, and discuss what remains to be done for solving the models. 
+% Also mention generic complex central charge? analyticity whenever continuous variables.
+
+Under these assumptions, we discuss the crossing symmetry equations, and how they can be solved analytically or numerically. This leads to analytic formulas for structure constants, involving the double Gamma function. 
 
-\vspace{5mm}
+In the case of loop CFTs, we sketch the corresponding statistical models, and derive the relation between statistical and CFT variables. We review the resulting combinatorial description of correlation functions, and discuss what remains to be done for solving the models. 
+\end{abstract}
 
 
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 \section{Introduction}
 
 \subsubsection*{Exact solvability in CFT}