Flat Connection, Conformal Field Theory and Quantum Group

  • Mitsuhiro Kato
Part of the NATO ASI Series book series (NSSB, volume 245)


Recently many people1 are discussing general framework of rational conformai field theories (RCFT). There, one of the important concept is a connection matrix of conformai blocks. Once connection matrices are given for the conformai blocks, which are made from chiral vertex operators of a given chiral algebra by sandwitch-ing them with SL 2 invariant vacuum, then we can construct the physical correlation functions invariant under monodromy transformations and determine operator product expansion coefficients in principle.


Vertex Operator Conformal Block Braid Group Conformal Field Theory Connection Matrix 
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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Mitsuhiro Kato
    • 1
  1. 1.Lawrence Berkeley LaboratoryUniversity of CaliforniaBerkeleyUSA

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