Event
Rafael Nepomechie, Physics Department, University of Miami
Tuesday, May 2, 2017 15:30to16:30
Pavillon André-Aisenstadt, 2920, ch. de la Tour, Montreal, CA
Quantum groups and quantum integrability.
Quantum spin chains are quantum many-body systems that have applications to condensed-matter theory, quantum information theory, quantum field theory, and string theory. The simplest anisotropic spin chains are arguably those that are integrable and have quantum group symmetry. We review a general construction and solution of a large class of such models associated with affine Lie algebras. We then describe a new such class of models associated with twisted affine Lie algebras. For the latter models, the quantum groups have novel deformations, with nonstandard coproducts.