Elliptic algebra, Frenkel-Kac construction and root of unity limit

Hiroshi Itoyama, Takeshi Oota, Reiji Yoshioka

We argue that the level-$1$ elliptic algebra $U_{q,p}(\hat{\mathfrak{g}})$ is a dynamical symmetry realized as a part of 2d/5d correspondence where the Drinfeld currents are th…