Cheng, Miranda C. N. and Chun, Sungbong and Ferrari, Francesca and Gukov, Sergei and Harrison, Sarah M. (2019) 3d modularity. Journal of High Energy Physics, 2019 (10). Art. No. 10. ISSN 1029-8479. doi:10.1007/jhep10(2019)010. https://resolver.caltech.edu/CaltechAUTHORS:20191016-132239333
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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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| Additional Information: | © 2019 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: June 18, 2019; Accepted: August 27, 2019; Published: October 3, 2019. We thank D. Adamovic, T. Creutzig, T. Dimofte, J. Duncan, P. Etingof, B. Feigin, D. Kazhdan, S. Löbrich, C. Manolescu, D. Pei, P. Putrov, L. Rolen, C. Schweigert, C. Vafa and D. Zagier for helpful discussions. The work of M.C. is supported by ERC starting grant H2020 ERC StG #640159. S.C. and S.G. are supported by the Walter Burke Institute for Theoretical Physics, by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632, and by the National Science Foundation under Grant No. NSF DMS 1664240. The work of S.C. is also supported in part by Samsung Scholarship. The work of S.G. is also supported in part by Laboratory of Mirror Symmetry NRU HSE, RF Government grant, ag. No. 14.641.31.0001. The work of F.F. is supported in part by the MIUR-SIR grant RBSI1471GJ "Quantum Field Theories at Strong Coupling: Exact Computations and Applications". S.H. is supported by the National Science and Engineering Council of Canada, an FRQNT new university researchers start-up grant, and the Canada Research Chairs program. M.C. would also like to thank LPTHE, Jussieu Paris, for hospitality during the final stage of this work. | ||||||||||||||||||||||||
| Group: | Walter Burke Institute for Theoretical Physics | ||||||||||||||||||||||||
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| Subject Keywords: | Chern-Simons Theories; Conformal Field Theory; M-Theory; Nonperturbative Effects | ||||||||||||||||||||||||
| Issue or Number: | 10 | ||||||||||||||||||||||||
| DOI: | 10.1007/jhep10(2019)010 | ||||||||||||||||||||||||
| Record Number: | CaltechAUTHORS:20191016-132239333 | ||||||||||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20191016-132239333 | ||||||||||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||||||
| ID Code: | 99305 | ||||||||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||||||||||||
| Deposited On: | 16 Oct 2019 20:46 | ||||||||||||||||||||||||
| Last Modified: | 16 Nov 2021 17:45 |
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