3d Modularity
| Autor: | Cheng, Miranda C. N., Chun, Sungbong, Ferrari, Francesca, Gukov, Sergei, Harrison, Sarah M. |
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| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP10(2019)010 |
| Popis: | 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, $SL(2,\mathbb{Z})$ Weil representations, quantum modular forms, non-semisimple modular tensor categories, and chiral algebras of logarithmic CFTs. Comment: 119 pages, 10 figures and 20 tables |
| Databáze: | arXiv |
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