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Notes on the solutions of Zamolodchikov-type recursion relations in Virasoro minimal models

  • Nina JaverzatEmail author
  • Raoul Santachiara
  • Omar Foda
Open Access
Regular Article - Theoretical Physics

Abstract

We study Virasoro minimal-model 4-point conformal blocks on the sphere and 0-point conformal blocks on the torus (the Virasoro characters), as solutions of Zamolodchikov-type recursion relations. In particular, we study the singularities due to resonances of the dimensions of conformal fields in minimal-model representations, that appear in the intermediate steps of solving the recursion relations, but cancel in the final results.

Keywords

Conformal Field Theory Lattice Integrable Models 

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.LPTMS, CNRS, Université Paris-Sud, Université Paris-SaclayOrsayFrance
  2. 2.School of Mathematics and StatisticsUniversity of MelbourneParkvilleAustralia

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