# The Baxter Q operator of critical dense polymers

@article{Nigro2009TheBQ,
title={The Baxter Q operator of critical dense polymers},
author={Alessandro Nigro},
journal={Journal of Statistical Mechanics: Theory and Experiment},
year={2009},
volume={2009},
pages={P10008}
}
• A. Nigro
• Published 4 May 2009
• Mathematics, Physics
• Journal of Statistical Mechanics: Theory and Experiment
We consider critical dense polymers , corresponding to a logarithmic conformal field theory with central charge c = −2. An elegant decomposition of the Baxter Q operator is obtained in terms of a finite number of lattice integrals of motion. All local, nonlocal and dual nonlocal involutive charges are introduced directly on the lattice and their continuum limit is found to agree with the expressions predicted by conformal field theory. A highly nontrivial operator Ψ(ν) is introduced on the…
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## References

SHOWING 1-10 OF 58 REFERENCES

### Integrals of motion for critical dense polymers and symplectic fermions

We consider critical dense polymers . We obtain for this model the eigenvalues of the local integrals of motion of the underlying conformal field theory by means of a thermodynamic Bethe ansatz. We

### Solvable critical dense polymers

• Mathematics
• 2007
A lattice model of critical dense polymers is solved exactly for finite strips. The model is the first member of the principal series of the recently introduced logarithmic minimal models. The key to

### Logarithmic minimal models

• Mathematics
• 2006
Working in the dense loop representation, we use the planar Temperley–Lieb algebra to build integrable lattice models called logarithmic minimal models . Specifically, we construct Yang–Baxter

### Integrable Structure of Conformal Field Theory II. Q-operator and DDV equation

• Mathematics
• 1997
Abstract:This paper is a direct continuation of [1] where we began the study of the integrable structures in Conformal Field Theory. We show here how to construct the operators \${\bf

### Integrable Structure of Conformal Field Theory III. The Yang–Baxter Relation

• Mathematics
• 1998
Abstract:In this paper we fill some gaps in the arguments of our previous papers [1,2]. In particular, we give a proof that the L operators of Conformal Field Theory indeed satisfy the defining

### Integrable structure of conformal field theory, quantum KdV theory and Thermodynamic Bethe Ansatz

• Mathematics
• 1996
AbstractWe construct the quantum versions of the monodromy matrices of KdV theory. The traces of these quantum monodromy matrices, which will be called as “T-operators,” act in highest weight

### On the integrable structure of the Ising model

Starting from the lattice A3 realization of the Ising model defined on a strip with integrable boundary conditions, the exact spectrum (including excited states) of all the local integrals of motion

### Pre-logarithmic and logarithmic fields in a sandpile model

• Mathematics
• 2004
We consider the unoriented two-dimensional Abelian sandpile model on the half-plane with open and closed boundary conditions, and relate it to the boundary logarithmic conformal field theory with