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Representation theory, gauge theory, and integrable systems

3–8 Feb 2019
Lecture Hall(1F), Kavli IPMU
Asia/Tokyo timezone

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Taro Kimura: Geometry of quiver W-algebra

7 Feb 2019, 11:00
Lecture Hall(1F), Kavli IPMU

Lecture Hall(1F), Kavli IPMU

Description

Quiver W-algebra is the gauge theoretical construction of q-deformed W-algebra. The generating current of the algebra is given as the operator analog of the qq-character associated with the representation on the quiver. I'd like to show that a master formula for such a generating current is obtained through the geometric construction of the qq-character by Nekrasov.

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  1. 4. Geometry of quiver W-algebra
    Taro Kimura
    07/02/2019, 11:00

    Quiver W-algebra is the gauge theoretical construction of q-deformed W-algebra. The generating current of the algebra is given as the operator analog of the qq-character associated with the representation on the quiver. I'd like to show that a master formula for such a generating current is obtained through the geometric construction of the qq-character by Nekrasov.

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