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Email: mphys11@ipb.ac.rs

Abstracts
Takeo Kojima
Quadratic Relations of the deformed Walgebras
The deformed Walgebra is a quantum deformation of the Walgebra ${\cal W}_\beta(\mathfrak{g})$ in conformal field theory. Using the free field construction, we obtain a closed set of quadratic relations of the Wcurrents of the deformed Walgebra. This allows us to define the deformed Walgebra by generators and relations. We study two types of deformed Walgebra. One is the deformed Walgebra ${\cal W}_{x,r}\big(A_{2N}^{(2)}\big)$, and the other is the qdeformed corner vertex algebra $qY_{L_1, L_2, L_3}$ that is a generalization of the deformed Walgebra ${\cal W}_{x,r}\big(A(M,N)^{(1)}\big)$ via the quantum toroidal algebra.


Organizer:
Institute of Physics Belgrade (University of Belgrade)
Belgrade, Serbia
Coorganizers:
Faculty of Mathematics
(University of Belgrade)
Belgrade, Serbia
Mathematical Institute
(Serbian Academy of Sciences and Arts)
Belgrade, Serbia
Serbian Academy of Nonlinear Sciences (SANS)
Belgrade, Serbia
