Minimal Unitary Models and The Closed SU(2)-q Invariant Spin Chain

Abstract

We consider the Hamiltonian of the closed $SU(2{)}_q$ invariant chain. We project a particular class of statistical models belonging to the unitary minimal series. A particular model corresponds to a particular value of the coupling constant. The operator content is derived. This class of models has charge-dependent boundary conditions. In simple cases (Ising, 3-state Potts) corresponding Hamiltonians are constructed. These are non-local as the original spin chain.

19 pages, latex, no figures

References in corpus (3)

• The spin-1/2 XXZ Heisenberg chain, the quantum algebra U_q[sl(2)], and duality transformations for minimal models
• Quantum Group Invariant Integrable n-State Vertex Models with Periodic Boundary Conditions
• Completeness of ``Good'' Bethe Ansatz Solutions of a Quantum Group Invariant Heisenberg Model

Cited by in corpus (5)

• Bosonization with a background $U(1)$ gauge field
• Excited states in the twisted XXZ spin chain
• Quantum Groups as Global Symmetries
• Bethe Ansatz solutions for Temperley-Lieb Quantum Spin Chains
• Closed SU(2)_q invariant spin chain and its operator content