Liouville Field Theory — A decade after the revolution

@article{Nakayama2004LiouvilleFT,
  title={Liouville Field Theory — A decade after the revolution},
  author={Yu Nakayama},
  journal={International Journal of Modern Physics A},
  year={2004},
  volume={19},
  pages={2771-2930}
}
  • Y. Nakayama
  • Published 2 February 2004
  • Physics
  • International Journal of Modern Physics A
We review recent developments (up to January 2004) of the Liouville field theory and its matrix model dual. This review consists of three parts. In part I, we review the bosonic Liouville theory. After briefly reviewing the necessary background, we discuss the bulk structure constants (the DOZZ formula) and the boundary states (the FZZT brane and the ZZ brane). Various applications are also presented. In part II, we review the supersymmetric extension of the Liouville theory. We first discuss… 

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  • G. RemyT. Zhu
  • Mathematics
    Communications in Mathematical Physics
  • 2022
Liouville conformal field theory (LCFT) is considered on a simply connected domain with boundary, specializing to the case where the Liouville potential is integrated only over the boundary of the
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