c-Recursion for multi-point superconformal blocks. NS sector

Vladimir Belavin, Roman Geiko

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We develop a recursive approach to computing Neveu-Schwarz conformal blocks associated with n-punctured Riemann surfaces. This work generalizes the results of [1] obtained recently for the Virasoro algebra. The method is based on the analysis of the analytic properties of the superconformal blocks considered as functions of the central charge c. It consists of two main ingredients: the study of the singular behavior of the conformal blocks and the analysis of their asymptotic properties when c tends to infinity. The proposed construction is applicable for computing multi-point blocks in different topologies. We consider some examples for genus zero and one with different numbers of punctures. As a by-product, we propose a new way to solve the recursion relations, which gives more efficient computational procedure and can be applied to SCFT case as well as to pure Virasoro blocks.

Original languageEnglish
Article number112
JournalJournal of High Energy Physics
Issue number8
StatePublished - 1 Aug 2018
Externally publishedYes


  • Conformal Field Theory
  • Conformal and W Symmetry


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