Non-invertible symmetries of N = 4 SYM and twisted compactification

Justin Kaidi, Gabi Zafrir, Yunqin Zheng

Research output: Contribution to journalArticlepeer-review


Non-invertible symmetries have recently been understood to provide interesting constraints on RG flows of QFTs. In this work, we show how non-invertible symmetries can also be used to generate entirely new RG flows, by means of so-called non-invertible twisted compactification. We illustrate the idea in the example of twisted compactifications of 4d N = 4 super-Yang-Mills (SYM) to three dimensions. After giving a catalogue of non-invertible symmetries descending from Montonen-Olive duality transformations of 4d N = 4 SYM, we show that twisted compactification by non-invertible symmetries can be used to obtain 3d N = 6 theories which appear otherwise unreachable if one restricts to twists by invertible symmetries.

Original languageEnglish
Article number53
JournalJournal of High Energy Physics
Issue number8
StatePublished - Aug 2022
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2022, The Author(s).


  • Global Symmetries
  • Supersymmetric Gauge Theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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