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.
Local Opers with Two Singularities: The Case of sl(2) / Fortuna G.; Lombardo D.; Maffei A.; Melani V.. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 394:(2022), pp. 1303-1360. [10.1007/s00220-022-04430-w]
Local Opers with Two Singularities: The Case of sl(2)
Melani V.
2022
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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Op2_SL2.pdf
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