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

Ben Cox; Elizabeth Jurisich; Renato Martins

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arXiv · 1802.03729

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

Ben Cox·Elizabeth Jurisich·Renato Martins

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Abstract

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 constructed Fock space. In this paper we prove that the semi-direct product, i.e. the gauge algebra acts on the Fock space as well.

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Ben Cox, Elizabeth Jurisich, Renato Martins. 2018-02-11. The three point gauge algebra $\mathcal V\ltimes \mathfrak{sl}(2, \mathcal R) \oplus\left(\Omega_{\mathcal R}/d{\mathcal R}\right)$ and an action on a Fock space. https://arxiv.org/abs/1802.03729

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