Integrals of Motion for Critical Dense Polymers and Symplectic Fermions
| Autor: | Alessandro Nigro |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2009 |
| Předmět: |
Statistics and Probability
Physics High Energy Physics - Theory Statistical Mechanics (cond-mat.stat-mech) Conformal field theory FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) Fermion Transfer matrix Bethe ansatz High Energy Physics - Theory (hep-th) Statistics Probability and Uncertainty Indecomposable module Finite set Eigenvalues and eigenvectors Condensed Matter - Statistical Mechanics Mathematical Physics Mathematical physics Symplectic geometry |
| 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. 53 pages, version accepted for publishing on JSTAT |
| Databáze: | OpenAIRE |
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