The three point gauge algebra $\mathcal{V}⋉\mathfrak{sl}(2,\mathcal{R})\oplus \left({\Omega }_{\mathcal{R}}/d\mathcal{R}\right)$ and an action on a Fock space

Ben Cox, Elizabeth Jurisich, Renato Martins

The three point current algebra $\mathfrak{sl}(2,\mathcal{R})$ where $\mathcal{R}=\mathbb{C}[t,t^{-1},u|u^2=t^2+4t]$ and three-point Virasoro algebra both act on a previously con…