Moonshine

JFR Duncan, MJ Griffin, K Ono - Research in the Mathematical Sciences, 2015 - Springer
Monstrous moonshine relates distinguished modular functions to the representation theory
of the Monster. The celebrated observations that 1= 1, 196884= 1+ 196883, 21493760= 1+ …

Resurgence in complex Chern-Simons theory

S Gukov, M Marino, P Putrov - arxiv preprint arxiv:1605.07615, 2016 - arxiv.org
We study resurgence properties of partition function of SU (2) Chern-Simons theory (WRT
invariant) on closed three-manifolds. We check explicitly that in various examples Borel …

Umbral moonshine and the Niemeier lattices

MCN Cheng, JFR Duncan, JA Harvey - Research in the Mathematical …, 2014 - Springer
In this paper, we relate umbral moonshine to the Niemeier lattices-the 23 even unimodular
positive-definite lattices of rank 24 with non-trivial root systems. To each Niemeier lattice, we …

Topological strings on genus one fibered Calabi-Yau 3-folds and string dualities

CF Cota, A Klemm, T Schimannek - Journal of High Energy Physics, 2019 - Springer
A bstract We calculate the generating functions of BPS indices using their modular
properties in Type II and M-theory compactifications on compact genus one fibered CY 3 …

Umbral Moonshine and K3 Surfaces

MCN Cheng, S Harrison - Communications in Mathematical Physics, 2015 - Springer
Recently, 23 cases of umbral moonshine, relating mock modular forms and finite groups,
have been discovered in the context of the 23 even unimodular Niemeier lattices. One of the …

Monstrous BPS-algebras and the superstring origin of moonshine

NM Paquette, D Persson, R Volpato - arxiv preprint arxiv:1601.05412, 2016 - arxiv.org
We provide a physics derivation of Monstrous moonshine. We show that the McKay-
Thompson series $ T_g $, $ g\in\mathbb {M} $, can be interpreted as supersymmetric …

K3 string theory, lattices and moonshine

MCN Cheng, SM Harrison, R Volpato… - Research in the …, 2018 - Springer
In this paper, we address the following two closely related questions. First, we complete the
classification of finite symmetry groups of type IIA string theory on K3 * R^ 6 K 3× R 6, where …

Snowmass white paper: Moonshine

SM Harrison, JA Harvey, NM Paquette - arxiv preprint arxiv:2201.13321, 2022 - arxiv.org
We present a brief overview of Moonshine with an emphasis on connections to physics.
Moonshine collectively refers to a set of phenomena connecting group theory, analytic …

A K3 sigma model with : symmetry

MR Gaberdiel, A Taormina, R Volpato… - Journal of High Energy …, 2014 - Springer
A bstract The K3 sigma model based on the\({{\mathbb {Z}} _2}\)-orbifold of the D 4-torus
theory is studied. It is shown that it has an equivalent description in terms of twelve free …

TASI lectures on Moonshine

V Anagiannis, MCN Cheng - arxiv preprint arxiv:1807.00723, 2018 - arxiv.org
The word moonshine refers to unexpected relations between the two distinct mathematical
structures: finite group representations and modular objects. It is believed that the key to …