Abstract
We find and propose an explanation for a large variety of modularity-related symmetries in problems of 3-manifold topology and physics of 3d \( \mathcal{N} \) = 2 theories where such structures a priori are not manifest. These modular structures include: mock modular forms, SL(2,ℤ) Weil representations, quantum modular forms, non-semisimple modular tensor categories, and chiral algebras of logarithmic CFTs.
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Cheng, M.C., Chun, S., Ferrari, F. et al. 3d modularity. J. High Energ. Phys. 2019, 10 (2019). https://doi.org/10.1007/JHEP10(2019)010
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DOI: https://doi.org/10.1007/JHEP10(2019)010