# Quadratic relations of the deformed W-superalgebra Wq,tA(M,N)

@article{Kojima2021QuadraticRO,
title={Quadratic relations of the deformed W-superalgebra Wq,tA(M,N)},
author={Takeo Kojima},
journal={Journal of Physics A: Mathematical and Theoretical},
year={2021},
volume={54}
}
• T. Kojima
• Published 27 December 2020
• Mathematics
• Journal of Physics A: Mathematical and Theoretical
We find the free field construction of the basic W-current and screening currents for the deformed W-superalgebra Wq,tA(M,N) associated with Lie superalgebra of type A(M, N). Using this free field construction, we introduce the higher W-currents and obtain a closed set of quadratic relations among them. These relations are independent of the choice of Dynkin diagrams for the Lie superalgebra A(M, N), though the screening currents are not. This allows us to define Wq,tA(M,N) by generators and…
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