3d modularity

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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 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. N., Chun, S., Ferrari, F., Gukov, S., & Harrison, S. M. (2019). 3d modularity. Journal of High Energy Physics, 2019(10). https://doi.org/10.1007/JHEP10(2019)010

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