# Quadratic relations of the deformed $W$-algebra for the twisted affine algebra $A_{2N}^{(2)}$

@inproceedings{Kojima2021QuadraticRO, title={Quadratic relations of the deformed \$W\$-algebra for the twisted affine algebra \$A\_\{2N\}^\{(2)\}\$}, author={Takeo Kojima}, year={2021} }

We revisit the free field construction of the deformed W -algebra by Frenkel and Reshetikhin, Commun. Math. Phys. 197, 1-31 (1998), where the basic W -current has been identified. Herein, we establish a free field construction of higher W -currents of the deformed W -algebra associated with the twisted affine algebra A (2) 2N . We obtained a closed set of quadratic relations and duality, which allowed us to define the deformed W -algebra Wx,r (

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