Affine Gaudin models and hypergeometric functions on affine opers
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2019.04.032
Abstract: We conjecture that quantum Gaudin models in affine types admit families of local higher Hamiltonians, labelled by the (countably infinite set of) exponents, whose eigenvalues are given by functions on a space of meromorphic opers… read more here.
Keywords: space meromorphic; gaudin models; affine opers; affine gaudin ... See more keywords
Completeness of Bethe Ansatz for Gaudin Models with gl(1|1) Symmetry and Diagonal Twists
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DOI: 10.3390/sym15010009
Abstract: We studied the Gaudin models with gl(1|1) symmetry that are twisted by a diagonal matrix and defined on tensor products of polynomial evaluation gl(1|1)[t]-modules. Namely, we gave an explicit description of the algebra of Hamiltonians… read more here.
Keywords: gaudin models; bethe ansatz; ansatz gaudin; algebra hamiltonians ... See more keywords