Gustav Delius (York):
Twisted Yangians and Quantum Affine Reflection Algebras in Boundary
Quantum Field Theory
The quantum groups introduced by Drinfeld and Jimbo, the Yangians
and Quantum Affine Algebras, appear as symmetries in integrable quantum
field theories and solvable lattice models. We investigate boundary quantum
groups as the subalgebras that remain as symmetries in the presence of a
boundary. We discuss two classes of boundary quantum groups, the twisted
Yangians and the Quantum Affine Reflection Algebras. We show how they can be
used to derive results about principal chiral models and affine Toda field
theories with boundaries.