5d and 6d SCFTs Have No Weak Coupling Limit

Abstract

We prove that there does not exist any weak coupling limit in the space of superconformal field theories in five and six dimensions, based on an analysis of the representation theory of the corresponding superconformal algebras. Holographically, this implies that superstring theories on AdS${}_6$ and AdS${}_7$ do not admit tensionless limits. Finally, we discuss the implications of our result on the existence of an action for coincident M5-branes.

12 pages; v2: argument added for 4d N=3

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Cited by in corpus (9)

• Coulomb and Higgs Branches from Canonical Singularities: Part 0
• Rank-two 5d SCFTs from M-theory at isolated toric singularities: a systematic study
• 4d F(4) gauged supergravity and black holes of class $\mathcal{F}$
• Spinor-helicity formalism for massive and massless amplitudes in five dimensions
• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• Phases of five-dimensional supersymmetric gauge theories
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• $\mathcal{N}=(1,0)$ Anomaly Multiplet Relations in Six Dimensions
• Exceptional moduli spaces for exceptional $\mathcal{N}=3$ theories