Unitary representations of the ${\mathcal{W}}_3$-algebra with $c\ge 2$

Sebastiano Carpi, Yoh Tanimoto, Mihály Weiner

We prove unitarity of the vacuum representation of the ${\mathcal{W}}_3$-algebra for all values of the central charge $c\ge 2$. We do it by modifying the free field realization of F…