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東京無限可積分系セミナー
過去の記録 ～01/14｜次回の予定｜今後の予定 01/15～
| 開催情報 | 土曜日 13:30～16:00 数理科学研究科棟(駒場) 117号室 |
|---|---|
| 担当者 | 神保道夫、国場敦夫、山田裕二、武部尚志、高木太一郎、白石潤一 |
| セミナーURL | https://www.ms.u-tokyo.ac.jp/~takebe/iat/index-j.html |
次回の予定
2025年01月16日(木)
15:30-16:30 数理科学研究科棟(駒場) オンライン開催号室
参加希望の方は連絡をお願いします。
Jean-Emile Bourgine 氏 (SIMIS (Shanghai Institute for Mathematics and Interdisciplinary Sciences))
Free field representations of quantum groups and q-deformed W-algebras through cluster algebras (ENGLISH)
参加希望の方は連絡をお願いします。
Jean-Emile Bourgine 氏 (SIMIS (Shanghai Institute for Mathematics and Interdisciplinary Sciences))
Free field representations of quantum groups and q-deformed W-algebras through cluster algebras (ENGLISH)
[ 講演概要 ]
Following the development of the AGT correspondence, new relations between free field representations of quantum groups and W-algebras were obtained. The simplest one is the homomorphism between the level $(N,0)$ horizontal representation of the quantum toroidal gl(1) algebra and (dressed) q-deformed $W_N$ algebras. In this talk, I will explain how to extend this type of relations to the Wakimoto representations of quantum affine sl(N) algebras using the 'surface defect' deformation of the quantum toroidal sl(N) algebra.
Following the development of the AGT correspondence, new relations between free field representations of quantum groups and W-algebras were obtained. The simplest one is the homomorphism between the level $(N,0)$ horizontal representation of the quantum toroidal gl(1) algebra and (dressed) q-deformed $W_N$ algebras. In this talk, I will explain how to extend this type of relations to the Wakimoto representations of quantum affine sl(N) algebras using the 'surface defect' deformation of the quantum toroidal sl(N) algebra.
