Umbral moonshine
imported>Pythagoras0님의 2013년 7월 26일 (금) 09:36 판
introduction
- $k=1,2,3,4,6,8$
- Mathieu moonshine corresponds to $k=1$ case
Jacobi form
$\mathcal{N}=4$ super conformal algebra
- $c=6k$, $k\in \mathbb{Z}_{\geq 1}$
- two types of representations : BPS and non-BPS
extremal Jacobi forms
mock modular form
umbral forms
umbral groups
umbral moonshine conjecture
- Quantum black holes, wall crossing and mock modular forms
- Mathieu moonshine
- monstrous moonshine
- Characters of superconformal algebra and mock theta functions