Boundary scattering in the principal chiral model
نویسندگان
چکیده
In recent work on the (G×G-invariant) principal chiral model with boundary, we found that both classically integrable boundary conditions and quantum boundary S-matrices were classified by the symmetric spaces G/H. The connection is explained by the presence of a ‘twisted Yangian’ algebra of non-local charges.
منابع مشابه
Boundary scattering in the SU(N) principal chiral model on the half-line with conjugating boundary conditions
We investigate the SU(N) Principal Chiral Model on a half-line with a particular set of boundary conditions (BCs). In previous work these BCs have been shown to correspond to boundary scattering matrices (K-matrices) which are representation conjugating and whose matrix structure corresponds to one of the symmetric spaces SU(N)/SO(N) or SU(N)/Sp(N). Starting from the bulk particle spectrum and ...
متن کاملBoundary scattering, symmetric spaces and the principal chiral model on the half-line
We investigate integrable boundary conditions (BCs) for the principal chiral model on the half-line, and rational solutions of the boundary Yang-Baxter equation (BYBE). In each case we find a connection with (type I, Riemannian, globally) symmetric spacesG/H: there is a class of integrable BCs in which the boundary field is restricted to lie in a coset of H; these BCs are parametrized by G/H×G/...
متن کاملThe SO(N) principal chiral field on a half-line
We investigate the integrability of the SO(N) principal chiral model on a halfline, and find that mixed Dirichlet/Neumann boundary conditions (as well as pure Dirichlet or Neumann) lead to infinitely many conserved charges classically in involution. We use an anomaly-counting method to show that at least one non-trivial example survives quantization, compare our results with the proposed reflec...
متن کاملReflection Factors for the Principal Chiral Model
We consider the SU (2) Principal Chiral Model (at level k = 1) on the half-line with scale invariant boundary conditions. By looking at the IR limiting confor-mal field theory and comparing with the Kondo problem, we propose the set of permissible boundary conditions and the corresponding reflection factors.
متن کاملBoundary remnant of Yangian symmetry and the structure of rational reflection matrices
For the classical principal chiral model with boundary, we give the subset of the Yangian charges which remains conserved under certain integrable boundary conditions, and extract them from the monodromy matrix. Quantized versions of these charges are used to deduce the structure of rational solutions of the reflection equation, analogous to the ‘tensor product graph’ for solutions of the Yang-...
متن کامل