• Corpus ID: 237364098

Quadratic relations of the deformed W-algebra for the twisted affine algebra A ( 2 ) 2

@inproceedings{Kojima2021QuadraticRO,
  title={Quadratic relations of the deformed W-algebra for the twisted affine algebra A ( 2 ) 2},
  author={Takeo Kojima and September},
  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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