Realizations of affine vertex algebras and logarithmic vertex algebras

Abstract: We shall first discuss our realization of affine vertex algebra $L_k(sl(2))$ and present some applications in the representation theory. We present applications to logarithmic vertex algebras using inverse quantum hamiltonian reduction. We shall also study a duality between N=4 superconformal vertex algebra with central charge c=-9 and the affine vertex algebra $L_k(osp(1,2))$ at the critical level (jointly with Q. Wang).

MathematicsPhysics

Audience: researchers in the topic

Comments: Meeting ID: 925 4420 8640 Passcode: 123089

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Representations of Lie Superalgebras and Related Topics

Series comments: ● Important Dates • Registration Opening: July 26, 2023 (Mordad 04, 1402) • Registration Deadline: August 28, 2023 (Shahrivar 06, 1402)

● Contact: Asghar Daneshvar, * Email: a[dot]daneshvar[at]ipm[dot]ir * If you have any questions or problems related to the conference or the registration form, please contact the email address above.

Plenary Speakers:

• Drazen Adamovic, University of Zagreb, Croatia

• Yuly Billig, University of Carleton, Canada

• Alberto Elduque, University of Zaragoza, Spain

• Dimitar Grantcharov, University of Texas at Arlington, United States of America

• Li Luo, East China Normal University, China

• Volodymyr Mazorchuk, Uppsala university, Sweden

• Jakob Palmkvist, Orebro University, Sweden

• Jinwei Yang, Shanghai Jiaotong University, China

• Kaiming Zhao, Wilfrid Laurier University, Canada

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