Towards general super Casimir equations for 4D N= 1 SCFTs
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2019-03-01
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en
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Journal of High Energy Physics
Nombre de Curso
Licencia CC
Attribution 4.0 International (CC BY 4.0)
Licencia CC
https://creativecommons.org/licenses/by/4.0/
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.
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Palabras clave
Conformal and W Symmetry, Conformal Field Theory, Superspaces, Supersymmetry and Duality
Citación
Journal of High Energy Physics Volume 2019, Issue 31 March 2019 Article number 47
DOI
10.1007/JHEP03(2019)047