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Integrable double deformation of the principal chiral model
Francois Delduc, Marc Magro, Benoit Vicedo
We define a two-parameter family of integrable deformations of the principal chiral model on an arbitrary compact group. The Yang-Baxter sigma-model and the principal chiral model…
Vertex Lie algebras and cyclotomic coinvariants
Benoit Vicedo, Charles A. S. Young
Given a vertex Lie algebra equipped with an action by automorphisms of a cyclic group , we define spaces of cyclotomic coinvariants over the Riemann sphere. These a…
Cyclotomic Gaudin models: construction and Bethe ansatz
Benoit Vicedo, Charles A. S. Young
To any simple Lie algebra and automorphism we associate a cyclotomic Gaudin algebra. This is a large commutative subalgebra of $U(\math…
Gaudin models for gl(m|n)
Evgeny Mukhin, Benoit Vicedo, Charles A. S. Young
We establish the basics of the Bethe ansatz for the Gaudin model associated to the Lie superalgebra gl(m|n). In particular, we prove the completeness of the Bethe ansatz in the cas…