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arXiv · 1303.6973

Realizations of the three point algebra $\mathfrak{sl}(2, \mathcal R) \oplus\left(\Omega_{\mathcal R}/d{\mathcal R}\right)$

Ben L. Cox·Elizabeth G. Jurisich
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Abstract

We describe the universal central extension of 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 construct realizations of it in terms of sums of partial differential operators.

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BibTeXRIS

Ben L. Cox, Elizabeth G. Jurisich. 2013-03-27. Realizations of the three point algebra $\mathfrak{sl}(2, \mathcal R) \oplus\left(\Omega_{\mathcal R}/d{\mathcal R}\right)$. https://doi.org/10.2140/pjm.2014.270.27

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