本文印刷
全画面プリント
作用素環セミナー
過去の記録 ～08/12｜次回の予定｜今後の予定 08/13～
| 開催情報 | 月曜日 15:30～17:00 数理科学研究科棟(駒場) 号室 |
|---|---|
| 担当者 | 松井 宏樹、木田 良才、河東 泰之 |
| セミナーURL | https://sites.google.com/view/hirokimatui/tokyo-seminar |
2009年07月16日(木)
16:30-18:00 数理科学研究科棟(駒場) 056号室
Ingo Runkel 氏 (King's College London)
Algebraic structures in conformal field theory
Ingo Runkel 氏 (King's College London)
Algebraic structures in conformal field theory
[ 講演概要 ]
It turned out to be fruitful to isolate questions in CFT which can be formulated in a purely categorical fashion. The way left and right moving degrees of freedom can be combined to a consistent theory is an example of this, the relevant structure being a commutative symmetric Frobenius algebra. This is true independently of whether CFT is formulated via sewing of surfaces or nets of operator algebras. Another example is modular invariance, which has a surprising alternative formulation as a certain maximality condition.
It turned out to be fruitful to isolate questions in CFT which can be formulated in a purely categorical fashion. The way left and right moving degrees of freedom can be combined to a consistent theory is an example of this, the relevant structure being a commutative symmetric Frobenius algebra. This is true independently of whether CFT is formulated via sewing of surfaces or nets of operator algebras. Another example is modular invariance, which has a surprising alternative formulation as a certain maximality condition.
