Large-c superconformal torus blocks

Konstantin Alkalaev, Vladimir Belavin

Research output: Contribution to journalArticlepeer-review

Abstract

We study large-c SCFT2 on a torus specializing to one-point superblocks in the N = 1 Neveu-Schwarz sector. Considering different contractions of the Neveu-Schwarz superalgebra related to the large central charge limit we explicitly calculate three superblocks, osp(1|2) global, light, and heavy-light superblocks, and show that they are related to each other. We formulate the osp(1|2) superCasimir eigenvalue equations and identify their particular solutions as the global superblocks. It is shown that the resulting differential equations are the Heun equations. We study exponentiated global superblocks arising at large conformal dimensions and demonstrate that in the leading approximation the osp(1|2) superblocks are equal to the non-supersymmetric sl(2) block.

Original languageEnglish
Article number42
Number of pages21
JournalJournal of High Energy Physics
Volume2018
Issue number8
DOIs
StatePublished - 1 Aug 2018
Externally publishedYes

Keywords

  • Conformal Field Theory
  • Conformal and W Symmetry

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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