Abstract
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 \( \mathcal{N} \) = 4 super-Yang-Mills (SYM) to three dimensions. After giving a catalogue of non-invertible symmetries descending from Montonen-Olive duality transformations of 4d \( \mathcal{N} \) = 4 SYM, we show that twisted compactification by non-invertible symmetries can be used to obtain 3d \( \mathcal{N} \) = 6 theories which appear otherwise unreachable if one restricts to twists by invertible symmetries.
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Kaidi, J., Zafrir, G. & Zheng, Y. Non-invertible symmetries of \( \mathcal{N} \) = 4 SYM and twisted compactification. J. High Energ. Phys. 2022, 53 (2022). https://doi.org/10.1007/JHEP08(2022)053
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DOI: https://doi.org/10.1007/JHEP08(2022)053