Integrals of Motion for Critical Dense Polymers and Symplectic Fermions

Autor:	Nigro, Alessandro
Rok vydání:	2009
Předmět:	High Energy Physics - Theory Condensed Matter - Statistical Mechanics Mathematical Physics
Zdroj:	J. Stat. Mech. (2009) P10007
Druh dokumentu:	Working Paper
DOI:	10.1088/1742-5468/2009/10/P10007
Popis:	We consider critical dense polymers ${\cal L}(1,2)$. We obtain for this model the eigenvalues of the local integrals of motion of the underlying Conformal Field Theory by means of Thermodynamic Bethe Ansatz. We give a detailed description of the relation between this model and Symplectic Fermions including the indecomposable structure of the transfer matrix. Integrals of motion are defined directly on the lattice in terms of the Temperley Lieb Algebra and their eigenvalues are obtained and expressed as an infinite sum of the eigenvalues of the continuum integrals of motion. An elegant decomposition of the transfer matrix in terms of a finite number of lattice integrals of motion is obtained thus providing a reason for their introduction. Comment: 53 pages, version accepted for publishing on JSTAT
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0903.5051 Zobrazit plný text záznamu View this record from Arxiv