Towards general super Casimir equations for 4D N= 1 SCFTs

Israel A. Ramírez

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


Applying the Casimir operator to four-point functions in CFTs allows us to find the conformal blocks for any external operators. In this work, we initiate the program to find the superconformal blocks, using the super Casimir operator, for 4DN= 1 SCFTs. We begin by finding the most general four-point function with zero U(1) R -charge, including all the possible nilpotent structures allowed by the superconformal algebra. We then study particular cases where some of the operators satisfy shortening conditions. Finally, we obtain the super Casimir equations for four point-functions which contain a chiral and an anti-chiral field. We solve the super Casimir equations by writing the superconformal blocks as a sum of several conformal blocks.

Original languageEnglish
Article number47
JournalJournal of High Energy Physics
Issue number3
Publication statusPublished - 1 Mar 2019


  • Conformal and W Symmetry
  • Conformal Field Theory
  • Superspaces
  • Supersymmetry and Duality

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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