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arXiv · 2205.01104

Non-Invertible Symmetries of $\mathcal{N}=4$ SYM and Twisted Compactification

Justin Kaidi·Gabi Zafrir·Yunqin Zheng
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Abstract

Non-invertible symmetries have recently been understood to provide interesting contraints 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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Justin Kaidi, Gabi Zafrir, Yunqin Zheng. 2022-05-02. Non-Invertible Symmetries of $\mathcal{N}=4$ SYM and Twisted Compactification. https://doi.org/10.1007/jhep08(2022)053

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