Conformal Field Theories and Category Theory

  • Ram Brustein
  • Yuval Ne’eman
  • Shlomo Sternberg
Part of the NATO ASI Series book series (NSSB, volume 245)


A relation between Conformal Field Theories and braided monoidal categories is established. The coherence theorem for these categories implies the existence of some fundamental relations obeyed by crossing matrices of Conformal Field Theories.


Vector Bundle Rooted Tree Conformal Block Operator Product Expansion Conformal Field Theory 


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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Ram Brustein
    • 1
  • Yuval Ne’eman
    • 2
  • Shlomo Sternberg
    • 3
  1. 1.Department of Physics, Theory GroupUniversity of TexasAustinUSA
  2. 2.Mortimer and Raymond Sackler Institute of Advanced StudiesTel Aviv UniversityTel AvivIsrael
  3. 3.Department of MathematicsHarvard UniversityCambridgeUSA

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