ODE/IQFT correspondence for the generalized affine $$ \mathfrak{sl} $$(2) Gaudin model
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Abstract An integrable system is introduced, which is a generalization of the $$ \mathfrak{sl} $$ sl (2) quantum affine Gaudin model. Among other things, the Hamiltonians are constructed and their spectrum is calculated using the ODE/IQFT approach. The model fits into the framework of Yang-Baxter integrability. This opens a way for the systematic quantization of a large class of integrable non-linear sigma models. There may also be some interest in terms of Condensed Matter applications, as the theory can be thought of as a multiparametric generalization of the Kondo model.
2010 ◽
Vol 829
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pp. 161-175
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1995 ◽
Vol 446
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pp. 211-222
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2005 ◽
pp. 125-129
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1984 ◽
Vol 238
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pp. 349-366
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2008 ◽
Vol 2008
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pp. 096-096
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