qsms.math.snu.ac.kr - [QSMS Seminar 2021.10.26, 10.28] Feigin-Semikhatov duality in W-superalgebras

Extra Form
일정시작	2021-10-26
일정종료	2021-10-28
배경색상	#77CC00
반복주기	2
반복단위	1.일(단위)

일정시작

2021-10-26

일정종료

2021-10-28

배경색상

#77CC00

반복주기

반복단위

1.일(단위)

Date : Lecture 1 : 2021/10/26 (Tue) 10:00-11:30

Lecture 2 : 2021/10/28 (Thu) 10:00-11:30

Place : Zoom (ID: 642 675 5874 no password, Login required)

Speaker : Ryo Sato (Kyoto university)

Title : Feigin-Semikhatov duality in W-superalgebras

Abstract:

W-superalgebras are a large class of vertex superalgebras which generalize affine Lie superalgebras and the Virasoro algebras. It has been known that princial W-algebras satisfy a certain duality relation (Feigin-Frenkel duality) which can be regarded as a quantization of the geometric Langlands correspondence. Recently, D. Gaiotto and M. Rapčák found dualities between more general W-superalgebras in relation to certain four-dimensional supersymmetric gauge theories. A large part of thier conjecture is proved by T. Creutzig and A. Linshaw, and a more specific subclass (Feigin-Semikhatov duality) is done by T. Creutzig, N. Genra, and S. Nakatsuka in a different way. In this talk I will review the Feigin-Semikhatov duality between certain subregular W-algebras and principal W-superalgebras, and discuss the usage of relative semi-infinite cohomology. This talk is based on a joint work with T. Creutzig, N. Genra, and S. Nakatsuka.

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