Abstract
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.
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References
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Kato, M. (1990). Flat Connection, Conformal Field Theory and Quantum Group. In: Chau, LL., Nahm, W. (eds) Differential Geometric Methods in Theoretical Physics. NATO ASI Series, vol 245. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-9148-7_25
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DOI: https://doi.org/10.1007/978-1-4684-9148-7_25
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