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.

List of Articles
No.	Subject	Author	Date	Views
Notice	QSMS Mailing List Registration	qsms	2021.09.09	105046
58	[QSMS-BK21 Symplectic Seminar 28 Apr] PGL(2,Q_p)-ORBIT CLOSURES ON A p-ADIC HOMOGENEOUS SPACE OF INFINITE VOLUME	qsms	2023.05.12	49770
57	[QSMS Monthly Seminar 2023-04-21] Lagrangian submanifolds and their Legendrian lifts	qsms	2023.04.21	49760
56	[QSMS Seminar 2022-08-31] Localization of the category of modules over quiver Hecke algebras	qsms	2022.08.25	49703
55	[QSMS Seminar 2022-08-24] Vector bundles and representation theory on a curve	qsms	2022.08.13	49629
54	[QSMS Seminar 2022.03.04 (시간변경)] Introduction to Supersymmetric Field Theories	qsms	2022.02.15	49513
53	[QSMS Seminar 2022-10-25] Rational liftings and gRSK	qsms	2022.10.08	49299
52	[QSMS 위상기하 세미나 2021.11.25] Exotic families of Weinstein manifolds with Milnor fibers of ADE types	qsms	2021.11.19	49016
51	[QSMS Seminar 2021.08.23, 08.24] Affine PBW bases and affine MV polytopes	qsms	2021.08.17	48797
50	[QSMS Seminar 2022-12-2] N=2 supersymmetric W algebras from Hamiltonian reduction	qsms	2022.11.25	48659
49	[QSMS Seminar 2021.10.12, 10.14] Vertex algebras and chiral homology I and II	qsms	2021.09.23	48613
48	[QSMS Seminar 14,16 Dec] A brief introduction to differential graded Lie algebras I, II	qsms	2021.11.29	48254
47	[QSMS Monthly Seminar] Quantum entanglement entropy in abelian arithmetic Chern-Simons theory	qsms	2021.10.29	48226
»	[QSMS Seminar 2021.10.26, 10.28] Feigin-Semikhatov duality in W-superalgebras	qsms	2021.10.13	48220
45	[QSMS Representation theory seminar-20240716] Highest weight categories and quasi-hereditary algebras	qsms	2024.07.02	47987
44	[SNU Number Theory Seminar 2022-06-03] The Coleman conjecture on circular distributions and the equivariant Tamagawa Number conjecture	qsms	2022.05.18	47978
43	[QSMS Representation theory seminar 2024-01-31] Kostant’s problem for Whittaker modules over Lie superalgebras	qsms	2024.01.18	47955
42	[QSMS Monthly Seminar] Introduction to finite-dimensional representations of quantum affine algebras	qsms	2021.12.03	47912
41	[QSMS-BK21 Symplectic Seminar 9 June] Physical Aspects of the Calegaro System / Introduction to BV Formalism	qsms	2023.06.26	47225
40	[QSMS-BK21 Seminar] Past seminars	qsms	2022.08.26	47068
39	[Seminar 2021.05.18] The coherent-constructible correspondence for toric projective bundles	qsms	2021.05.17	46677

Author

Notice

QSMS Mailing List Registration