Abstract A -analogue of the half-infinite t − J model with a boundary is studied by using the vertex operator approach. We find an explicit bosonic formula of the boundary state in the integrable highest-weight module over the quantum superalgebra .
Boundary state of Uq(gl^(N∣N)) analog of half-infinite t−J model
The Uq(gl^(N∣N))-analog of the half-infinite t−J model with a boundary is considered by using the vertex operator approach. We find explicit bosonic formula of the boundary state in the integrable highest-weight module over the quantum superalgebra Uq(gl^(N∣N)).
In this study, an integrable vertex model based on the quantum affine superalgebra Uq(gl^(2∣2)) is constructed. The model is characterized by a particular assignment of spectral parameters and lowest as well as highest weight Uq(gl(2∣2)) modules to its lattice links. Solutions of the corresponding intertwining conditions yield the Boltzmann weights. The set of mutually commuting charges contains a quantity equivalent to the super spin chain Hamiltonian proposed for the description of the integer quantum Hall transition.