Fused integrable lattice models with quantum impurities and open boundaries

TL;DR

This paper investigates integrable lattice models with quantum impurities and open boundaries, deriving boundary free energies and g-functions, and analyzing boundary flows in related conformal field theories.

Contribution

It introduces new calculations of boundary free energies and g-functions for integrable models with impurities and open boundaries, linking them to boundary flows in conformal field theories.

Findings

Boundary free energy due to impurities derived

Ratios of g-functions at different temperatures specified

Boundary flows in minimal and coset models discussed

Abstract

The alternating integrable spin chain and the $RSOS(q_{1},q_{2};p)$ model in the presence of a quantum impurity are investigated. The boundary free energy due to the impurity is derived, the ratios of the corresponding $g$ functions at low and high temperature are specified and their relevance to boundary flows in unitary minimal and generalized coset models is discussed. Finally, the alternating spin chain with diagonal and non--diagonal integrable boundaries is studied, and the corresponding boundary free energy and $g$ functions are derived.