11th MATHEMATICAL PHYSICS MEETING
2 - 6 September 2024, Belgrade, Serbia




Kalemegdan

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    E-mail: mphys11@ipb.ac.rs

Abstracts

Takeo Kojima

Quadratic Relations of the deformed W-algebras

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


Organizer:


Institute of Physics Belgrade (University of Belgrade)
Belgrade, Serbia


Co-organizers:


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