Excitations and S-matrix for su(3) spin chain combining $3$ and ${3^{*}}

Abstract

The associated Hamiltonian for a su(3) spin chain combining $3$ and $3^{\ast }$ representations is calculated. The ansatz equations for this chain are obtained and solved in the thermodynamic limit, and the ground state and excitations are described. Thus, relations between the number of roots and the number of holes in each level have been found . The excited states are characterized by means of these quantum numbers. Finally, the exact S matrix for a state with two holes is found.

17 pages, plaintex, harvmac (to be published in J. of Phys. A)

References in corpus (7)

• Deriving Boundary S Matrices
• Thermodynamics of Integrable Chains with Alternating Spins
• Critical Behaviour of integrable mixed spins chains
• Scalar Kinks
• A method for solve integrable $A_2$ spin chains combining different representations
• The class of universality of integrable and isotropic GL(N) mixed magnets
• Bethe ansatz equations for quantum chains combining different representations of $su(3)$