We analytically compute the Renyi entropies for the RSOS models, representing a wide class of exactly solvable models with multicritical conformal points described by unitary minimal models and $\mathbb{Z}_n$ parafermions. The exact expressions allow for an explicit comparison of the expansions around the critical points with the predictions coming from field theory. In this way it is possible to point out the nature of the so-called "unusual corrections", clarifying the link with the operator content, the role of the symmetries and the boundary conditions. By choosing different boundary conditions, we can single out the ground states as well as certain combinations of high energy states. We find that the {\it entanglement spectrum} is given by operators that are not present in the bulk Hamiltonian, although they belong to the same representation of a Virasoro Algebra. In the parafermionic case we observe unexpected logarithmic corrections.We analytically compute the Renyi entropies for the RSOS models, representing a wide class of exactly solvable models with multicritical conformal points described by unitary minimal models and $\mathbb{Z}_n$ parafermions. The exact expressions allow for an explicit comparison of the expansions around the critical points with the predictions coming from field theory. In this way it is possible to point out the nature of the so-called "unusual corrections", clarifying the link with the operator content, the role of the symmetries and the boundary conditions. By choosing different boundary conditions, we can single out the ground states as well as certain combinations of high energy states. We find that the {\it entanglement spectrum} is given by operators that are not present in the bulk Hamiltonian, although they belong to the same representation of a Virasoro Algebra. In the parafermionic case we observe unexpected logarithmic corrections.

Jan 1, 201317 citations

Representations of the Virasoro algebra from lattice models

W.M. Koo, Hubert Saleur

arXiv:hep-th/9312156Nuclear Physics BSep 1, 199489 citations

Approaching the restricted solid-on-solid critical points through entanglement: One model for many universalities

Andrea De Luca, Fabio Franchini

We analytically compute the Renyi entropies for the RSOS models, representing a wide class of exactly solvable models with multicritical conformal points described by unitary minimal models and ${\mathbb{Z}}_{n}$ parafermions. The exact expressions allow for an explicit comparison of the expansions around the critical points with the predictions coming from field theory. In this way, it is possible to point out the nature of the so-called ``unusual corrections,'' clarifying the link with the operator content, the role of the symmetries and the boundary conditions. By choosing different boundary conditions, we can single out the ground states as well as certain combinations of high-energy states. We find that the entanglement spectrum is given by operators different from those responsible for the off-critical perturbation, although they belong to the same representation of a Virasoro algebra. In the parafermionic case, we observe unexpected logarithmic corrections.We analytically compute the Renyi entropies for the RSOS models, representing a wide class of exactly solvable models with multicritical conformal points described by unitary minimal models and ${\mathbb{Z}}_{n}$ parafermions. The exact expressions allow for an explicit comparison of the expansions around the critical points with the predictions coming from field theory. In this way, it is possible to point out the nature of the so-called ``unusual corrections,'' clarifying the link with the operator content, the role of the symmetries and the boundary conditions. By choosing different boundary conditions, we can single out the ground states as well as certain combinations of high-energy states. We find that the entanglement spectrum is given by operators different from those responsible for the off-critical perturbation, although they belong to the same representation of a Virasoro algebra. In the parafermionic case, we observe unexpected logarithmic corrections.

arXiv:1205.6426Physical Review BJan 22, 20132 citations

RSOS quantum chains associated with off-critical minimal models and ${\boldsymbol{\mathbb{Z}}}_{{\mbox{\tssabi n}}}$ parafermions

Davide Bianchini, Elisa Ercolessi, Paul A Pearce +1 more

We consider the φ 1,3 off-critical perturbation of the general non-unitary minimal models where 2 ⩽ m ⩽ m ′ and m , m ′ are coprime and t measures the departure from criticality corresponding to the φ 1,3 integrable perturbation. We view these models as the continuum scaling limit in the ferromagnetic Regime III of the Forrester–Baxter Restricted Solid-On-Solid (RSOS) models on the square lattice. We also consider the RSOS models in the antiferromagnetic Regime II related in the continuum scaling limit to parfermions with n = m ′ − 2. Using an elliptic Yang–Baxter algebra of planar tiles encoding the allowed face configurations, we obtain the Hamiltonians of the associated quantum chains defined as the logarithmic derivative of the transfer matrices with periodic boundary conditions. The transfer matrices and Hamiltonians act on a vector space of paths on the A m ′−1 Dynkin diagram whose dimension is counted by generalized Fibonacci numbers.We consider the φ 1,3 off-critical perturbation of the general non-unitary minimal models where 2 ⩽ m ⩽ m ′ and m , m ′ are coprime and t measures the departure from criticality corresponding to the φ 1,3 integrable perturbation. We view these models as the continuum scaling limit in the ferromagnetic Regime III of the Forrester–Baxter Restricted Solid-On-Solid (RSOS) models on the square lattice. We also consider the RSOS models in the antiferromagnetic Regime II related in the continuum scaling limit to parfermions with n = m ′ − 2. Using an elliptic Yang–Baxter algebra of planar tiles encoding the allowed face configurations, we obtain the Hamiltonians of the associated quantum chains defined as the logarithmic derivative of the transfer matrices with periodic boundary conditions. The transfer matrices and Hamiltonians act on a vector space of paths on the A m ′−1 Dynkin diagram whose dimension is counted by generalized Fibonacci numbers.

arXiv:1412.4942Journal of Statistical Mechanics Theory and ExperimentMar 11, 201522 citations

We analytically compute the Renyi entropies for the RSOS models, representing a wide class of exactly solvable models with multicritical conformal points described by unitary minimal models and

\mathbb{Z}_n

parafermions. The exact expressions allow for an explicit comparison of the expansions around the critical points with the predictions coming from field theory. In this way it is possible to point out the nature of the so-called "unusual corrections", clarifying the link with the operator content, the role of the symmetries and the boundary conditions. By choosing different boundary conditions, we can single out the ground states as well as certain combinations of high energy states. We find that the {\it entanglement spectrum} is given by operators that are not present in the bulk Hamiltonian, although they belong to the same representation of a Virasoro Algebra. In the parafermionic case we observe unexpected logarithmic corrections.

We analytically compute the Renyi entropies for the RSOS models, representing a wide class of exactly solvable models with multicritical conformal points described by unitary minimal models and

{\mathbb{Z}}_{n}

parafermions. The exact expressions allow for an explicit comparison of the expansions around the critical points with the predictions coming from field theory. In this way, it is possible to point out the nature of the so-called ``unusual corrections,'' clarifying the link with the operator content, the role of the symmetries and the boundary conditions. By choosing different boundary conditions, we can single out the ground states as well as certain combinations of high-energy states. We find that the entanglement spectrum is given by operators different from those responsible for the off-critical perturbation, although they belong to the same representation of a Virasoro algebra. In the parafermionic case, we observe unexpected logarithmic corrections.