3d Modularity
High Energy Physics - Theory
2020-05-28 v2 Geometric Topology
Number Theory
Quantum Algebra
Representation Theory
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 theories where such structures a priori are not manifest. These modular structures include: mock modular forms, Weil representations, quantum modular forms, non-semisimple modular tensor categories, and chiral algebras of logarithmic CFTs.
Cite
@article{arxiv.1809.10148,
title = {3d Modularity},
author = {Miranda C. N. Cheng and Sungbong Chun and Francesca Ferrari and Sergei Gukov and Sarah M. Harrison},
journal= {arXiv preprint arXiv:1809.10148},
year = {2020}
}
Comments
119 pages, 10 figures and 20 tables