Three Avatars of Mock Modularity
High Energy Physics - Theory
2022-02-02 v1 Number Theory
Abstract
Mock theta functions were introduced by Ramanujan in 1920 but a proper understanding of mock modularity has emerged only recently with the work of Zwegers in 2002. In these lectures we describe three manifestations of this apparently exotic mathematics in three important physical contexts of holography, topology and duality where mock modularity has come to play an important role.
Cite
@article{arxiv.2110.09790,
title = {Three Avatars of Mock Modularity},
author = {Atish Dabholkar and Pavel Putrov},
journal= {arXiv preprint arXiv:2110.09790},
year = {2022}
}
Comments
36 pages. Lectures delivered at 2020 ICTP Online Summer School on String Theory and Related Topics. Based on arXiv:1208.4074, arXiv:1905.05207, arXiv:2004.14387