Browsing by Author "Lacroix, Sylvain"

Now showing items 1-4 of 4

    • Affine Gaudin models and hypergeometric functions on affine opers 

      Lacroix, Sylvain; Vicedo, Benoit; Young, Charles A. S. (2019-07-09)
      We conjecture that quantum Gaudin models in affine types admit families of higher Hamiltonians, labelled by the (countably infinite set of) exponents, whose eigenvalues are given by functions on a space of meromorphic opers ...

    • Cubic hypergeometric integrals of motion in affine Gaudin models 

      Lacroix, Sylvain; Vicedo, Benoit; Young, Charles A. S. (2020-05-22)
      We construct cubic Hamiltonians for quantum Gaudin models of affine types $\hat{\mathfrak{sl}}_M$. They are given by hypergeometric integrals of a form we recently conjectured in arXiv:1804.01480. We prove that they commute ...

    • On q-deformed symmetries as Poisson-Lie symmetries and application to Yang-Baxter type models 

      Vicedo, Benoit; Magro, Marc; Delduc, Francois; Lacroix, Sylvain (2016-09-20)
      Yang–Baxter type models are integrable deformations of integrable field theories, such as the principal chiral model on a Lie group G or σ-models on (semi-)symmetric spaces G/F. The deformation has the effect of breaking ...

    • On the Hamiltonian integrability of the bi-Yang-Baxter sigma-model 

      Vicedo, Benoit; Magro, Marc; Delduc, Francois; Lacroix, Sylvain (2016-03-15)
      The bi-Yang-Baxter σ-model is a certain two-parameter deformation of the principal chiral model on a real Lie group G for which the left and right G-symmetries of the latter are both replaced by Poisson-Lie symmetries. It ...