2020 Fiscal Year Annual Research Report
二次元及び四次元の共型場理論に付随した頂点作用素代数の構成と分類
| Project/Area Number |
20F40018
|
|---|
| Research Institution | Kyoto University |
|---|
Principal Investigator |
荒川 知幸 京都大学, 数理解析研究所, 教授 (40377974)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
MOLLER SVEN 京都大学, 数理解析研究所, 外国人特別研究員
|
|---|
| Project Period (FY) |
2020-11-13 – 2023-03-31
|
| Keywords | 頂点作用素代数 / 4D/2D 双対性 |
|---|
| Outline of Annual Research Achievements |
First, we have proved the conjecture which states that there is a bijection between the generalized deep holes of the VOA associated w ith the Leech lattice and the 70 cases on Schellekens’ list.Second, Second, we started to construct VOAs associated with general complex refl ect ion groups which are expected to correspond to four-dimensional N=3 SCFTs.
|
| Current Status of Research Progress |
Current Status of Research Progress
1: Research has progressed more than it was originally planned.
Reason
当初の目的の一つが達成され、もう一つに関しても重要な進展があった。
|
| Strategy for Future Research Activity |
予定通り実行する。
|
