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arxiv: 1705.08594 · v3 · submitted 2017-05-24 · ✦ hep-th

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Superconformal Blocks for SCFTs with Eight Supercharges

Nikolay Bobev , Edoardo Lauria , Dalimil Mazac
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classification ✦ hep-th
keywords superconformalblocksdimensioneightspacetimesuperchargesalgebraalgebras
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We show how to treat the superconformal algebras with eight Poincar\'e supercharges in a unified manner for spacetime dimension $2 < d\leq 6$. This formalism is ideally suited for analyzing the quadratic Casimir operator of the superconformal algebra and its use in deriving superconformal blocks. We illustrate this by an explicit construction of the superconformal blocks, for any value of the spacetime dimension, for external protected scalar operators which are the lowest component of flavor current multiplets.

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  1. Reduced superblocks at next-to-next-to-extremality for all half-maximally supersymmetric CFTs

    hep-th 2026-04 unverdicted novelty 6.0

    Dynamical data in E=2 mixed correlators of half-maximally supersymmetric CFTs is encoded in reduced correlator functions admitting block expansions with shifted kinematics.