5d and 6d SCFTs Have No Weak Coupling Limit

Chi-Ming Chang

5d and 6d SCFTs Have No Weak Coupling Limit

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arxiv 1810.04169 v2 pith:M6V5IHRD submitted 2018-10-09 hep-th

Chi-Ming Chang This is my paper · ORCID

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keywords couplinglimitsuperconformaltheoriesweakactionadmitalgebras

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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.

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(2,0) Lagrangian Structures
hep-th 2019-08 conditional novelty 6.0 of 10

A Lorentz invariant Lagrangian for the abelian (2,0) tensor supermultiplet is constructed by adding a self-dual three-form that decouples as a supersymmetry singlet, with an exploratory non-abelian generalization.

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