On the critical behaviour of the integrable q-deformed OSp(3|2) superspin chain

@article{Frahm2019OnTC,
  title={On the critical behaviour of the integrable q-deformed OSp(3|2) superspin chain},
  author={Holger Frahm and Konstantin Hobuss and M{\'a}rcio Jos{\'e} Martins},
  journal={Nuclear Physics B},
  year={2019}
}
Abstract This paper is concerned with the investigation of the massless regime of an integrable spin chain based on the quantum group deformation of the O S p ( 3 | 2 ) superalgebra. The finite-size properties of the eigenspectra are computed by solving the respective Bethe ansatz equations for large system sizes allowing us to uncover the low-lying critical exponents. We present evidences that critical exponents appear to be built in terms of composites of anomalous dimensions of two Coulomb… 
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References

SHOWING 1-10 OF 75 REFERENCES
Finite-size effects in the spectrum of the OSp(3|2) superspin chain
Abstract The low energy spectrum of a spin chain with OSp ( 3 | 2 ) supergroup symmetry is studied based on the Bethe ansatz solution of the related vertex model. This model is a lattice realization
Phase diagram of an integrable alternating Uq[sl(2|1)] superspin chain
Abstract We construct a family of integrable vertex model based on the typical four-dimensional representations of the quantum group deformation of the Lie superalgebra sl ( 2 | 1 ) . Upon
Finite size properties of staggered $U_q[sl(2|1)]$ superspin chains
Abstract Based on the exact solution of the eigenvalue problem for the U q [ sl ( 2 | 1 ) ] vertex model built from alternating three-dimensional fundamental and dual representations by means of the
Continuum limit of the integrable sl(2/1) 3–3¯ superspin chain
Abstract By a combination of analytical and numerical techniques, we analyze the continuum limit of the integrable 3 ⊗ 3 ¯ ⊗ 3 ⊗ 3 ¯ ⋯ sl ( 2 / 1 ) superspin chain. We discover profoundly new
The integrable XXZ Heisenberg model with arbitrary spin: Construction of the Hamiltonian, the ground-state configuration and conformal properties
Abstract The construction of an integrable generalization of the antiferromagnetic XXZ Heisenberg model with arbitrary spin and easy plane anisotropy is reconsidered. The fusion procedure which has
Exact solution and finite size properties of the Uq[osp(2|2m)]Uq[osp(2|2m)] vertex models
We have diagonalized the transfer matrix of the Uq[osp(2|2m)]Uq[osp(2|2m)] vertex model by means of the algebraic Bethe ansatz method for a variety of grading possibilities. This allowed us to
Integrable spin chain for the SL(2,R)/U(1) black hole sigma model.
TLDR
A spin chain based on finite-dimensional spin-1/2 SU(2) representations but with a non-Hermitian "Hamiltonian" is introduced and it is shown that it is described at low energies by the SL(2,R)/U(1) Euclidian black hole conformal field theory.
The staggered six-vertex model: Conformal invariance and corrections to scaling
Abstract We study the emergence of non-compact degrees of freedom in the low energy effective theory for a class of Z 2 -staggered six-vertex models. In the finite size spectrum of the vertex model
Conformal invariance and the operator content of the XXZ model with arbitrary spin
The authors are concerned with the critical properties of the anisotropic Heisenberg chain, or XXZ model, with arbitrary integer or half-integer spin. The eigenspectra of these Hamiltonians, with
Conformal invariance, the XXZ chain and the operator content of two-dimensional critical systems
Abstract The massless regime of the quantum XXZ chain is an example of a conformally invariant (1 + 1)-dimensional Hamiltonian with conformal anomaly c = 1. In this paper, Bethe ansatz equations are
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