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Infinite Analysis Seminar Tokyo
Seminar information archive ～05/01｜Next seminar｜Future seminars 05/02～
| Date, time & place | Saturday 13:30 - 16:00 117Room #117 (Graduate School of Math. Sci. Bldg.) |
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2025/01/16
15:30-16:30 Room #オンライン開催 (Graduate School of Math. Sci. Bldg.)
Please make contact to the following address if you want to attend the seminar.
Jean-Emile Bourgine (SIMIS (Shanghai Institute for Mathematics and Interdisciplinary Sciences))
Free field representations of quantum groups and q-deformed W-algebras through cluster algebras (ENGLISH)
Please make contact to the following address if you want to attend the seminar.
Jean-Emile Bourgine (SIMIS (Shanghai Institute for Mathematics and Interdisciplinary Sciences))
Free field representations of quantum groups and q-deformed W-algebras through cluster algebras (ENGLISH)
[ Abstract ]
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.
