The integrals of motion for the elliptic deformation of the Virasoro and $W_N$ algebra

T. Kojima, J. Shiraishi

We review the free field realization of the deformed Virasoro algebra $Vi{r}_{q,t}$ and the deformed $W$ algebra $W_{q,t}(\widehat{g{l}_N})$. We explicitly construct two classes of infinit…