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Journal of High Energy Physics

, 2018:28 | Cite as

Universal RCFT correlators from the holomorphic bootstrap

  • Sunil Mukhi
  • Girish Muralidhara
Open Access
Regular Article - Theoretical Physics
  • 61 Downloads

Abstract

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 ϕ1,2 and ϕ2,1 in the c < 1 minimal models. We apply this technique to compute correlators for the WZW models corresponding to the Deligne-Cvitanović 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.

Keywords

Conformal and W Symmetry Conformal Field Theory Field Theories in Lower Dimensions 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Indian Institute of Science Education and ResearchPuneIndia
  2. 2.International Centre for Theoretical SciencesBengaluruIndia

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