3d modularity

Open Access
Authors
  • S.M. Harrison
Publication date 10-2019
Journal Journal of High Energy Physics
Article number 10
Volume | Issue number 2019 | 10
Number of pages 95
Organisations
  • Faculty of Science (FNWI) - Institute of Physics (IoP)
  • Faculty of Science (FNWI) - Institute of Physics (IoP) - Institute for Theoretical Physics Amsterdam (ITFA)
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.

Document type Article
Language English
Published at
https://doi.org/10.1007/JHEP10(2019)010 (Final published version)
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Cheng2019_Article_3dModularity (Final published version)
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