• Corpus ID: 245634492

Segal's axioms and bootstrap for Liouville Theory

  title={Segal's axioms and bootstrap for Liouville Theory},
  author={Colin Guillarmou and Antti Kupiainen and R{\'e}mi Rhodes and Vincent Vargas},
In 1987 Graeme Segal gave a functorial definition of Conformal Field Theory (CFT) that was designed to capture the mathematical essence of the Conformal Bootstrap formalism pioneered in physics by Belavin-Polyakov-Zamolodchikov. In Segal's formulation the basic objects of CFT, the correlation functions of conformal primary fields, are viewed as functions on the moduli space of Riemann surfaces with marked points which behave naturally under gluing of surfaces. In this paper we give a… 

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