English

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

High Energy Physics - Theory 2018-08-30 v3

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

Cite

@article{arxiv.1806.02790,
  title  = {Notes on the solutions of Zamolodchikov-type recursion relations in Virasoro minimal models},
  author = {Nina Javerzat and Raoul Santachiara and Omar Foda},
  journal= {arXiv preprint arXiv:1806.02790},
  year   = {2018}
}

Comments

26 pages, 1 figure minor modifications