Published October 2019
| Submitted + Published
Journal Article
Open
3d modularity
Chicago
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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.
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.Attached Files
Published - Cheng2019_Article_3dModularity.pdf
Submitted - 1809.10148.pdf
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Additional details
- Eprint ID
- 99305
- Resolver ID
- CaltechAUTHORS:20191016-132239333
- European Research Council (ERC)
- 640159
- Walter Burke Institute for Theoretical Physics, Caltech
- Department of Energy (DOE)
- DE-SC0011632
- NSF
- DMS-1664240
- Samsung Scholarship
- Ministry of Education, Culture, Sports, Science and Technology (MEXT)
- 14.641.31.0001
- Ministero dell'Istruzione, dell'Universita e della Ricerca (MIUR)
- RBSI1471GJ
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Fonds de recherche du Québec - Nature et technologies (FRQNT)
- Canada Research Chairs Program
- SCOAP3
- Created
-
2019-10-16Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics