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Universal RCFT correlators from the holomorphic bootstrap

Mukhi, Sunil and Muralidhara, Girish (2018) Universal RCFT correlators from the holomorphic bootstrap. In: JOURNAL OF HIGH ENERGY PHYSICS (2).

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Official URL: http://dx.doi.org/10.1007/JHEP02(2018)028


We elaborate and extend the method of Wronskian differential equations for conformal blocks to compute four-point correlation functions on the plane for classes of primary fields in rational (and possibly more general) conformal field theories. This approach leads to universal differential equations for families of CFT's and provides a very simple re-derivation of the BPZ results for the degenerate fields phi(1,2) and phi(2,1) in the c < 1 minimal models. We apply this technique to compute correlators for the WZW models corresponding to the Deligne-Cvitanovic exceptional series of Lie algebras. The application turns out to be subtle in certain cases where there are multiple decoupled primaries. The power of this approach is demonstrated by applying it to compute four-point functions for the Baby Monster CFT, which does not belong to any minimal series.

Item Type: Journal Article
Additional Information: Copy right for this article belong to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Department/Centre: Others
Date Deposited: 02 Mar 2018 14:51
Last Modified: 02 Mar 2018 14:51
URI: http://eprints.iisc.ac.in/id/eprint/59084

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