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

3 Dec 2020 · Giorgia Fortuna, Davide Lombardo, Andrea Maffei, Valerio Melani ·

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

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