Перегляд за автором "Varchenko, A."

Сортувати за: Порядок: Результатів:

  • Combinatorial Formulae for Nested Bethe Vectors 
    Tarasov, V.; Varchenko, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We give combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for tensor products of irreducible evaluation modules over the Yangian Y(glN) and the quantum affine algebra Uq(glN˜).
  • Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel 
    Mukhin, E.; Tarasov, V.; Varchenko, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We show that the difference equation Df = 0 for an M-valued function f has a basis of solutions consisting of quasi-exponentials.
  • KZ Characteristic Variety as the Zero Set of Classical Calogero-Moser Hamiltonians 
    Mukhin, E.; Tarasov, T.; Varchenko, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We discuss a relation between the characteristic variety of the KZ equations and the zero set of the classical Calogero-Moser Hamiltonians.
  • Populations of Solutions to Cyclotomic Bethe Equations 
    Varchenko, A.; Young, C.A.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We study solutions of the Bethe Ansatz equations for the cyclotomic Gaudin model of [Vicedo B., Young C.A.S., arXiv:1409.6937]. We give two interpretations of such solutions: as critical points of a cyclotomic master ...
  • Quantum Integrable Model of an Arrangement of Hyperplanes 
    Varchenko, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The goal of this paper is to give a geometric construction of the Bethe algebra (of Hamiltonians) of a Gaudin model associated to a simple Lie algebra. More precisely, in this paper a quantum integrable model is assigned ...