"Umbral moonshine"의 두 판 사이의 차이
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imported>Pythagoras0 |
imported>Pythagoras0 |
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| 1번째 줄: | 1번째 줄: | ||
==introduction== | ==introduction== | ||
| − | * [[Mathieu moonshine]] | + | * $k=1,2,3,4,6,8$ |
| + | * [[Mathieu moonshine]] corresponds to $k=1$ case | ||
==Jacobi form== | ==Jacobi form== | ||
| + | |||
==$\mathcal{N}=4$ super conformal algebra== | ==$\mathcal{N}=4$ super conformal algebra== | ||
| − | * two types of representations | + | * $c=6k$, $k\in \mathbb{Z}_{\geq 1}$ |
| + | * two types of representations : BPS and non-BPS | ||
| + | |||
==extremal Jacobi forms== | ==extremal Jacobi forms== | ||
2013년 7월 26일 (금) 08:36 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