54 citations · 647 across the 25 of their papers we have counts for
5 papers · 1 filter
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…
Three-parameter integrable deformation of Z_4 permutation supercosets
Francois Delduc, Ben Hoare, Takashi Kameyama +2
A three-parameter integrable deformation of permutation supercosets is constructed. These supercosets are of the form where is the bos…
Integrable models with twist function and affine Gaudin models
Sylvain Lacroix
This thesis deals with a class of integrable field theories called models with twist function. The main examples of such models are integrable non-linear sigma models, such as the…
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…