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--- runkel-watts_theory [2021/09/16 17:14]
Brian McPeak created
+++ runkel-watts_theory [2021/09/16 17:24] (current)
Brian McPeak [Sources]
@@ Line 1: / Line 1: @@
 ======Runkel-Watts Theory======
-Runk
+Runkel-Watts theory is a 2d CFT with central charge $c = 1$. It can be constructed from the $A$-series of minimal models, which are parametrized by integers $p$ and which have central charge
+$$ c = 1 - 6 \frac{1}{p(p+1)} \, . $$
+The Runkel-Watts theory is defined as the limiting theory that arises from taking $p \to \infty$.
+====Runkel-Watts type theories====
+Generalizations to the theory defined above exist for certain rational values of $c < 1$. These may be constructed from Liouville theory by loosening the assumption that the correlation functions are meromorphic functions of the coupling constant and the conformal momentum. As a result, these theories have identical spectra to the Liouville with the same central charge, but their correlation functions differ.
 ====Sources====
 These theories were originally discussed in [[https://arxiv.org/abs/hep-th/0107118|this paper]].
+The generalization to $c < 1$ is discussed [[https://arxiv.org/abs/1503.02067 | here ]]

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