
pmid: 10042451
Summary: We show that the criticality of integrable lattice models based on the Lie algebras \(A_ n\), \(D_ n\), \(E_ n\) can be understood as the product of certain numbers of bosonic fields and a generalized parafermionic (fractional spin) theory (GPT). We compute the central charge of the GPT using the thermodynamic Bethe ansatz approach. For the model associated with the \(A_ 2\) Lie algebra, we propose that the associated GPT can be described by a composition of Ising and tricritical-Ising conformal field theories.
Exactly solvable models; Bethe ansatz, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
Exactly solvable models; Bethe ansatz, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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