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

Abstract

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.

arXiv comment7 pages, text revisions

References in corpus (9)

• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• Weyl multiplets of N=2 conformal supergravity in five Dimensions
• New supersymmetric higher-derivative couplings: Full N=2 superspace does not count!
• Conformal supergravity in five dimensions: New approach and applications
• All Off-Shell R^2 Invariants in Five Dimensional N=2 Supergravity
• Curved Extended Superspace from Yang-Mills Theory a la Strings
• Construction of all N=4 conformal supergravities
• $N=2$ dilaton Weyl multiplet in 4D supergravity
• On curvature squared terms in N = 2 supergravity

Cited by in corpus (9)

• N=4 conformal supergravity: the complete actions
• Extended superconformal higher-spin gauge theories in four dimensions
• New locally (super)conformal gauge models in Bach-flat backgrounds
• N = 3 Conformal Supergravity in Four Dimensions
• Higher derivative invariants in four dimensional N=3 Poincare supergravity
• Dilaton Weyl multiplets for $N=3$ conformal supergravity in four dimensions
• Scalar-Tensor multiplet in four dimensional N=2 conformal supergravity
• Only Flat Spacetime is Full BPS in Four Dimensional N=3 and N=4 Supergravity
• Variant dilaton Weyl Multiplet for N=3 conformal supergravity in four dimensions