Shadow formalism for supersymmetric conformal blocks

V. Belavin, J. Ramos Cabezas, B. Runov

Research output: Contribution to journalArticlepeer-review

Abstract

Shadow formalism is a technique in two-dimensional CFT allowing straightforward computation of conformal blocks in the limit of infinitely large central charge. We generalize the construction of shadow operator for superconformal field theories. We demonstrate that shadow formalism yields known expressions for the large-c limit of the four-point superconformal block on a plane and of the one-point superconformal block on a torus. We also explicitly find the two-point global torus superconformal block in the necklace channel and check it against the Casimir differential equation.

Original languageEnglish
Article number48
JournalJournal of High Energy Physics
Volume2024
Issue number11
DOIs
StatePublished - Nov 2024

Keywords

  • AdS-CFT Correspondence
  • Conformal and W Symmetry
  • Field Theories in Lower Dimensions
  • Supersymmetry and Duality

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