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

TL;DR

This paper studies a class of $SU(2)_q$ invariant spin chains, deriving their operator content and constructing specific models with charge-dependent boundary conditions, including non-local Hamiltonians for simple cases.

Contribution

It introduces a new class of minimal unitary models within the $SU(2)_q$ invariant spin chain framework and constructs explicit Hamiltonians for simple cases.

Findings

Derived operator content for the models.

Constructed Hamiltonians for Ising and 3-state Potts cases.

Identified non-local Hamiltonians with charge-dependent boundary conditions.

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.