386 citations · 1.8k across the 45 of their papers we have counts for
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Integrable coupled sigma-models
Francois Delduc, Sylvain Lacroix, Marc Magro +1
A systematic procedure for constructing classical integrable field theories with arbitrarily many free parameters is outlined. It is based on the recent interpretation of integrabl…
The solutions of Bethe ansatz equation and rational pseudodifferential operators
Chenliang Huang, Evgeny Mukhin, Benoît Vicedo +1
We describe a reproduction procedure which, given a solution of the Gaudin Bethe ansatz equation associated to a tensor product of polynomial modules, produce…
Cubic hypergeometric integrals of motion in affine Gaudin models
Sylvain Lacroix, Benoit Vicedo, Charles A. S. Young
We construct cubic Hamiltonians for quantum Gaudin models of affine types . They are given by hypergeometric integrals of a form we recently conjectured in a…
Affine Gaudin models and hypergeometric functions on affine opers
Sylvain Lacroix, Benoit Vicedo, Charles A. S. Young
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 g…