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arXiv · 2012.01858

Local opers with two singularities: the case of $\mathfrak{sl}(2)$

Giorgia Fortuna·Davide Lombardo·Andrea Maffei·Valerio Melani
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Abstract

We study local opers with two singularities for the case of the Lie algebra sl(2), and discuss their connection with a two-variables extension of the affine Lie algebra. We prove an analogue of the Feigin-Frenkel theorem describing the centre at the critical level, and an analogue of a result by Frenkel and Gaitsgory that characterises the endomorphism rings of Weyl modules in terms of functions on the space of opers.

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BibTeXRIS

Giorgia Fortuna, Davide Lombardo, Andrea Maffei, Valerio Melani. 2020-12-03. Local opers with two singularities: the case of $\mathfrak{sl}(2)$. https://doi.org/10.1007/s00220-022-04430-w

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