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arxiv: 1810.05089 · v3 · pith:S7IYHY6Xnew · submitted 2018-10-11 · ✦ hep-th

Comment on "The N = 3 Weyl Multiplet in Four Dimensions"

classification ✦ hep-th
keywords multipletalgebratransformationapproachcorrespondingcurrentsdimensionsfour
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N = 3 Weyl multiplet in four dimensions was first constructed in J van Muiden et al (2017) where the authors used the current multiplet approach to obtain the linearized transformation rules and completed the nonlinear variations using the superconformal algebra. The multiplet of currents was obtained by a truncation of the multiplet of currents for the N = 4 vector multiplet. While the procedure seems to be correct, the result suffers from several inconsistencies. The inconsistencies are observed in the transformation rules as well as the field dependent structure constants in the corresponding soft algebra. We take a different approach, and compute the transformation rule as well as the corresponding soft algebra by demanding consistency.

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  1. Only Flat Spacetime is Full BPS in Four Dimensional N=3 and N=4 Supergravity

    hep-th 2025-05 unverdicted novelty 6.0

    Flat spacetime is the only fully supersymmetric solution in four-dimensional N=3 and N=4 higher derivative Poincaré supergravity, unlike N=2 where Bertotti-Robinson geometry also qualifies.