Conformal Nets II: Conformal Blocks

@article{Bartels2014ConformalNI,
  title={Conformal Nets II: Conformal Blocks},
  author={Arthur Bartels and Christopher L. Douglas and A C G Henriques},
  journal={Communications in Mathematical Physics},
  year={2014},
  volume={354},
  pages={393-458}
}
  • Arthur Bartels, Christopher L. Douglas, A C G Henriques
  • Published 2014
  • Mathematics, Physics
  • Communications in Mathematical Physics
  • Conformal nets provide a mathematical formalism for conformal field theory. Associated to a conformal net with finite index, we give a construction of the ‘bundle of conformal blocks’, a representation of the mapping class groupoid of closed topological surfaces into the category of finite-dimensional projective Hilbert spaces. We also construct infinite-dimensional spaces of conformal blocks for topological surfaces with smooth boundary. We prove that the conformal blocks satisfy a… CONTINUE READING

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