Finite-size corrections for logarithmic representations in critical dense polymers

Abstract

We study (analytic) finite-size corrections in the dense polymer model on the strip by perturbing the critical Hamiltonian with irrelevant operators belonging to the tower of the identity. We generalize the perturbation expansion to include Jordan cells, and examine whether the finite-size corrections are sensitive to the properties of indecomposable representations appearing in the conformal spectrum, in particular their indecomposability parameters. We find, at first order, that the corrections do not depend on these parameters nor even on the presence of Jordan cells. Though the corrections themselves are not universal, the ratios are universal and correctly reproduced by the conformal perturbative approach, to first order.

5 pages, published version

References in corpus (4)

• Indecomposability parameters in chiral Logarithmic Conformal Field Theory
• Classification of Kac representations in the logarithmic minimal models LM(1,p)
• A Proof of Selection Rules for Critical Dense Polymers
• The Universal Amplitude Ratio ${\Gamma }^{-}/{\Gamma }^{+}$ for Two-Dimensional Percolation

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• Finite Size Corrections for Dimers