The 3-point Virasoro algebra and its action on a Fock space

Abstract

We define a 3-point Virasoro algebra, and construct a representation of it on a previously defined Fock space for the 3-point affine algebra $\mathfrak{sl}(2,\mathcal{R})\oplus \left({\Omega }_{\mathcal{R}}/d\mathcal{R}\right)$.

arXiv admin note: text overlap with arXiv:1303.6973, arXiv:1309.7316

References in corpus (3)

• Realizations of the three point algebra $\mathfrak{sl}(2,\mathcal{R})\oplus \left({\Omega }_{\mathcal{R}}/d\mathcal{R}\right)$
• Determination of the 2- cocycles for the three point Witt algebra
• $N$-point Virasoro algebras are multi-point Krichever--Novikov type algebras

Cited by in corpus (1)

• Representations for three-point Lie algebras of genus zero