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

Israel A. Ramírez

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

5 Citas (Scopus)

Resumen

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.

Idioma originalInglés
Número de artículo47
PublicaciónJournal of High Energy Physics
Volumen2019
N.º3
DOI
EstadoPublicada - 1 mar 2019

Áreas temáticas de ASJC Scopus

  • Física nuclear y de alta energía

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