5d and 6d SCFTs have no weak coupling limit

Chi-Ming Chang Center for Quantum Mathematics and Physics (QMAP), University of California, Davis, CA 95616, U.S.A.

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.74015

Journal of High Energy Physics, 2019, (16), 2019.9
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 AdS6 and AdS7 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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@inproceedings{chi-ming20195d,
  title={5d and 6d SCFTs have no weak coupling limit},
  author={Chi-Ming Chang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220702141933669077511},
  booktitle={Journal of High Energy Physics},
  volume={2019},
  number={16},
  year={2019},
}
Chi-Ming Chang. 5d and 6d SCFTs have no weak coupling limit. 2019. Vol. 2019. In Journal of High Energy Physics. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220702141933669077511.
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